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Finding the Fourth Proportional to 402,301.14, 603,451.19 and 102,781.95

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Solution

The fourth proportional to 402,301.14, 603,451.19 and 102,781.95 is: 154,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,301.14 : 603,451.19 = 102,781.95 : x
  2. Step 2: Convert to fraction form
    402,301.14/603,451.19 = 102,781.95/x
  3. Step 3: Cross multiply
    402,301.14x = 603,451.19 × 102,781.95
  4. Step 4: Simplify right side
    402,301.14x = 62,023,889,524.11
  5. Step 5: Solve for x
    x = 62,023,889,524.11/402,301.14
  6. Step 6: Final answer
    x = 154,172.79

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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.