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Finding the Fourth Proportional to 119,098.47, 178,414.15 and 69,073.48

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Solution

The fourth proportional to 119,098.47, 178,414.15 and 69,073.48 is: 103,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098.47 : 178,414.15 = 69,073.48 : x
  2. Step 2: Convert to fraction form
    119,098.47/178,414.15 = 69,073.48/x
  3. Step 3: Cross multiply
    119,098.47x = 178,414.15 × 69,073.48
  4. Step 4: Simplify right side
    119,098.47x = 12,323,686,221.74
  5. Step 5: Solve for x
    x = 12,323,686,221.74/119,098.47
  6. Step 6: Final answer
    x = 103,474.77

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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.