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Finding the Fourth Proportional to 137,897.33, 206,857.91 and 38,057.54

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Solution

The fourth proportional to 137,897.33, 206,857.91 and 38,057.54 is: 57,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.33 : 206,857.91 = 38,057.54 : x
  2. Step 2: Convert to fraction form
    137,897.33/206,857.91 = 38,057.54/x
  3. Step 3: Cross multiply
    137,897.33x = 206,857.91 × 38,057.54
  4. Step 4: Simplify right side
    137,897.33x = 7,872,503,796.43
  5. Step 5: Solve for x
    x = 7,872,503,796.43/137,897.33
  6. Step 6: Final answer
    x = 57,089.60

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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.