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Finding the Fourth Proportional to 140,429.57, 193,791.57 and 76,767.17

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Solution

The fourth proportional to 140,429.57, 193,791.57 and 76,767.17 is: 105,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,429.57 : 193,791.57 = 76,767.17 : x
  2. Step 2: Convert to fraction form
    140,429.57/193,791.57 = 76,767.17/x
  3. Step 3: Cross multiply
    140,429.57x = 193,791.57 × 76,767.17
  4. Step 4: Simplify right side
    140,429.57x = 14,876,830,398.76
  5. Step 5: Solve for x
    x = 14,876,830,398.76/140,429.57
  6. Step 6: Final answer
    x = 105,938.02

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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.