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Finding the Fourth Proportional to 137,793.52, 206,692.35 and 47,839.08

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Solution

The fourth proportional to 137,793.52, 206,692.35 and 47,839.08 is: 71,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,793.52 : 206,692.35 = 47,839.08 : x
  2. Step 2: Convert to fraction form
    137,793.52/206,692.35 = 47,839.08/x
  3. Step 3: Cross multiply
    137,793.52x = 206,692.35 × 47,839.08
  4. Step 4: Simplify right side
    137,793.52x = 9,887,972,264.17
  5. Step 5: Solve for x
    x = 9,887,972,264.17/137,793.52
  6. Step 6: Final answer
    x = 71,759.34

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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.