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Finding the Fourth Proportional to 146,491.75, 202,153.01 and 82,830.88

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Solution

The fourth proportional to 146,491.75, 202,153.01 and 82,830.88 is: 114,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,491.75 : 202,153.01 = 82,830.88 : x
  2. Step 2: Convert to fraction form
    146,491.75/202,153.01 = 82,830.88/x
  3. Step 3: Cross multiply
    146,491.75x = 202,153.01 × 82,830.88
  4. Step 4: Simplify right side
    146,491.75x = 16,744,511,298.79
  5. Step 5: Solve for x
    x = 16,744,511,298.79/146,491.75
  6. Step 6: Final answer
    x = 114,303.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.