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Finding the Fourth Proportional to 278,097.17, 383,793.75 and 157,239.63

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Solution

The fourth proportional to 278,097.17, 383,793.75 and 157,239.63 is: 217,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,097.17 : 383,793.75 = 157,239.63 : x
  2. Step 2: Convert to fraction form
    278,097.17/383,793.75 = 157,239.63/x
  3. Step 3: Cross multiply
    278,097.17x = 383,793.75 × 157,239.63
  4. Step 4: Simplify right side
    278,097.17x = 60,347,587,246.31
  5. Step 5: Solve for x
    x = 60,347,587,246.31/278,097.17
  6. Step 6: Final answer
    x = 217,001.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.