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Finding the Fourth Proportional to 310,761, 466,151.49 and 86,123.61

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Solution

The fourth proportional to 310,761, 466,151.49 and 86,123.61 is: 129,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,761 : 466,151.49 = 86,123.61 : x
  2. Step 2: Convert to fraction form
    310,761/466,151.49 = 86,123.61/x
  3. Step 3: Cross multiply
    310,761x = 466,151.49 × 86,123.61
  4. Step 4: Simplify right side
    310,761x = 40,146,649,125.68
  5. Step 5: Solve for x
    x = 40,146,649,125.68/310,761
  6. Step 6: Final answer
    x = 129,188.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.