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Finding the Fourth Proportional to 278,577.50, 418,032.29 and 101,098.38

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Solution

The fourth proportional to 278,577.50, 418,032.29 and 101,098.38 is: 151,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,577.50 : 418,032.29 = 101,098.38 : x
  2. Step 2: Convert to fraction form
    278,577.50/418,032.29 = 101,098.38/x
  3. Step 3: Cross multiply
    278,577.50x = 418,032.29 × 101,098.38
  4. Step 4: Simplify right side
    278,577.50x = 42,262,387,306.69
  5. Step 5: Solve for x
    x = 42,262,387,306.69/278,577.50
  6. Step 6: Final answer
    x = 151,707.83

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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.