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Finding the Fourth Proportional to 108,710.72, 149,951.76 and 78,540.38

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Solution

The fourth proportional to 108,710.72, 149,951.76 and 78,540.38 is: 108,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,710.72 : 149,951.76 = 78,540.38 : x
  2. Step 2: Convert to fraction form
    108,710.72/149,951.76 = 78,540.38/x
  3. Step 3: Cross multiply
    108,710.72x = 149,951.76 × 78,540.38
  4. Step 4: Simplify right side
    108,710.72x = 11,777,268,212.07
  5. Step 5: Solve for x
    x = 11,777,268,212.07/108,710.72
  6. Step 6: Final answer
    x = 108,335.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.