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Finding the Fourth Proportional to 136,538.52, 204,842.30 and 38,042.52

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Solution

The fourth proportional to 136,538.52, 204,842.30 and 38,042.52 is: 57,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,538.52 : 204,842.30 = 38,042.52 : x
  2. Step 2: Convert to fraction form
    136,538.52/204,842.30 = 38,042.52/x
  3. Step 3: Cross multiply
    136,538.52x = 204,842.30 × 38,042.52
  4. Step 4: Simplify right side
    136,538.52x = 7,792,717,294.60
  5. Step 5: Solve for x
    x = 7,792,717,294.60/136,538.52
  6. Step 6: Final answer
    x = 57,073.40

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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.