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Finding the Fourth Proportional to 118,098.52, 177,182.42 and 38,134.74

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Solution

The fourth proportional to 118,098.52, 177,182.42 and 38,134.74 is: 57,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098.52 : 177,182.42 = 38,134.74 : x
  2. Step 2: Convert to fraction form
    118,098.52/177,182.42 = 38,134.74/x
  3. Step 3: Cross multiply
    118,098.52x = 177,182.42 × 38,134.74
  4. Step 4: Simplify right side
    118,098.52x = 6,756,805,519.27
  5. Step 5: Solve for x
    x = 6,756,805,519.27/118,098.52
  6. Step 6: Final answer
    x = 57,213.30

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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.