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Finding the Fourth Proportional to 137,907.55, 206,857.19 and 38,073.83

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Solution

The fourth proportional to 137,907.55, 206,857.19 and 38,073.83 is: 57,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,907.55 : 206,857.19 = 38,073.83 : x
  2. Step 2: Convert to fraction form
    137,907.55/206,857.19 = 38,073.83/x
  3. Step 3: Cross multiply
    137,907.55x = 206,857.19 × 38,073.83
  4. Step 4: Simplify right side
    137,907.55x = 7,875,845,295.97
  5. Step 5: Solve for x
    x = 7,875,845,295.97/137,907.55
  6. Step 6: Final answer
    x = 57,109.60

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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.