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Finding the Fourth Proportional to 137,897.52, 206,842.14 and 38,063.72

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Solution

The fourth proportional to 137,897.52, 206,842.14 and 38,063.72 is: 57,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.52 : 206,842.14 = 38,063.72 : x
  2. Step 2: Convert to fraction form
    137,897.52/206,842.14 = 38,063.72/x
  3. Step 3: Cross multiply
    137,897.52x = 206,842.14 × 38,063.72
  4. Step 4: Simplify right side
    137,897.52x = 7,873,180,266.95
  5. Step 5: Solve for x
    x = 7,873,180,266.95/137,897.52
  6. Step 6: Final answer
    x = 57,094.43

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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.