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Finding the Fourth Proportional to 268,314.10, 402,471.15 and 81,301.30

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Solution

The fourth proportional to 268,314.10, 402,471.15 and 81,301.30 is: 121,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,314.10 : 402,471.15 = 81,301.30 : x
  2. Step 2: Convert to fraction form
    268,314.10/402,471.15 = 81,301.30/x
  3. Step 3: Cross multiply
    268,314.10x = 402,471.15 × 81,301.30
  4. Step 4: Simplify right side
    268,314.10x = 32,721,427,707.50
  5. Step 5: Solve for x
    x = 32,721,427,707.50/268,314.10
  6. Step 6: Final answer
    x = 121,951.95

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Why These Related Problems?

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