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Finding the Fourth Proportional to 146,364.25, 201,980.02 and 82,700.68

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Solution

The fourth proportional to 146,364.25, 201,980.02 and 82,700.68 is: 114,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,364.25 : 201,980.02 = 82,700.68 : x
  2. Step 2: Convert to fraction form
    146,364.25/201,980.02 = 82,700.68/x
  3. Step 3: Cross multiply
    146,364.25x = 201,980.02 × 82,700.68
  4. Step 4: Simplify right side
    146,364.25x = 16,703,885,000.41
  5. Step 5: Solve for x
    x = 16,703,885,000.41/146,364.25
  6. Step 6: Final answer
    x = 114,125.44

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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.