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Finding the Fourth Proportional to 146,585, 202,303.50 and 82,922.24

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Solution

The fourth proportional to 146,585, 202,303.50 and 82,922.24 is: 114,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,585 : 202,303.50 = 82,922.24 : x
  2. Step 2: Convert to fraction form
    146,585/202,303.50 = 82,922.24/x
  3. Step 3: Cross multiply
    146,585x = 202,303.50 × 82,922.24
  4. Step 4: Simplify right side
    146,585x = 16,775,459,379.84
  5. Step 5: Solve for x
    x = 16,775,459,379.84/146,585
  6. Step 6: Final answer
    x = 114,441.86

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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.