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Finding the Fourth Proportional to 122,114.38, 168,575.56 and 81,854.44

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Solution

The fourth proportional to 122,114.38, 168,575.56 and 81,854.44 is: 112,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114.38 : 168,575.56 = 81,854.44 : x
  2. Step 2: Convert to fraction form
    122,114.38/168,575.56 = 81,854.44/x
  3. Step 3: Cross multiply
    122,114.38x = 168,575.56 × 81,854.44
  4. Step 4: Simplify right side
    122,114.38x = 13,798,658,687.56
  5. Step 5: Solve for x
    x = 13,798,658,687.56/122,114.38
  6. Step 6: Final answer
    x = 112,997.82

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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.