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Finding the Fourth Proportional to 104,761.44, 144,545.57 and 61,742.64

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Solution

The fourth proportional to 104,761.44, 144,545.57 and 61,742.64 is: 85,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,761.44 : 144,545.57 = 61,742.64 : x
  2. Step 2: Convert to fraction form
    104,761.44/144,545.57 = 61,742.64/x
  3. Step 3: Cross multiply
    104,761.44x = 144,545.57 × 61,742.64
  4. Step 4: Simplify right side
    104,761.44x = 8,924,625,092.10
  5. Step 5: Solve for x
    x = 8,924,625,092.10/104,761.44
  6. Step 6: Final answer
    x = 85,189.98

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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.