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Finding the Fourth Proportional to 140,463.59, 193,839.75 and 76,801.38

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Solution

The fourth proportional to 140,463.59, 193,839.75 and 76,801.38 is: 105,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,463.59 : 193,839.75 = 76,801.38 : x
  2. Step 2: Convert to fraction form
    140,463.59/193,839.75 = 76,801.38/x
  3. Step 3: Cross multiply
    140,463.59x = 193,839.75 × 76,801.38
  4. Step 4: Simplify right side
    140,463.59x = 14,887,160,298.86
  5. Step 5: Solve for x
    x = 14,887,160,298.86/140,463.59
  6. Step 6: Final answer
    x = 105,985.91

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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.