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Finding the Fourth Proportional to 137,062.64, 205,591.80 and 43,567.04

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Solution

The fourth proportional to 137,062.64, 205,591.80 and 43,567.04 is: 65,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062.64 : 205,591.80 = 43,567.04 : x
  2. Step 2: Convert to fraction form
    137,062.64/205,591.80 = 43,567.04/x
  3. Step 3: Cross multiply
    137,062.64x = 205,591.80 × 43,567.04
  4. Step 4: Simplify right side
    137,062.64x = 8,957,026,174.27
  5. Step 5: Solve for x
    x = 8,957,026,174.27/137,062.64
  6. Step 6: Final answer
    x = 65,349.87

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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.