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Finding the Fourth Proportional to 102,110.97, 140,902.32 and 56,781.63

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Solution

The fourth proportional to 102,110.97, 140,902.32 and 56,781.63 is: 78,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110.97 : 140,902.32 = 56,781.63 : x
  2. Step 2: Convert to fraction form
    102,110.97/140,902.32 = 56,781.63/x
  3. Step 3: Cross multiply
    102,110.97x = 140,902.32 × 56,781.63
  4. Step 4: Simplify right side
    102,110.97x = 8,000,663,400.38
  5. Step 5: Solve for x
    x = 8,000,663,400.38/102,110.97
  6. Step 6: Final answer
    x = 78,352.63

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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.