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Finding the Fourth Proportional to 141,806.97, 195,691.10 and 77,276.77

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Solution

The fourth proportional to 141,806.97, 195,691.10 and 77,276.77 is: 106,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,806.97 : 195,691.10 = 77,276.77 : x
  2. Step 2: Convert to fraction form
    141,806.97/195,691.10 = 77,276.77/x
  3. Step 3: Cross multiply
    141,806.97x = 195,691.10 × 77,276.77
  4. Step 4: Simplify right side
    141,806.97x = 15,122,376,125.75
  5. Step 5: Solve for x
    x = 15,122,376,125.75/141,806.97
  6. Step 6: Final answer
    x = 106,640.57

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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.