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Finding the Fourth Proportional to 165,253.48, 247,835.92 and 71,737

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Solution

The fourth proportional to 165,253.48, 247,835.92 and 71,737 is: 107,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,253.48 : 247,835.92 = 71,737 : x
  2. Step 2: Convert to fraction form
    165,253.48/247,835.92 = 71,737/x
  3. Step 3: Cross multiply
    165,253.48x = 247,835.92 × 71,737
  4. Step 4: Simplify right side
    165,253.48x = 17,779,005,393.04
  5. Step 5: Solve for x
    x = 17,779,005,393.04/165,253.48
  6. Step 6: Final answer
    x = 107,586.27

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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.