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Finding the Fourth Proportional to 95,171.84, 142,963.76 and 61,874.78

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Solution

The fourth proportional to 95,171.84, 142,963.76 and 61,874.78 is: 92,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,171.84 : 142,963.76 = 61,874.78 : x
  2. Step 2: Convert to fraction form
    95,171.84/142,963.76 = 61,874.78/x
  3. Step 3: Cross multiply
    95,171.84x = 142,963.76 × 61,874.78
  4. Step 4: Simplify right side
    95,171.84x = 8,845,851,197.97
  5. Step 5: Solve for x
    x = 8,845,851,197.97/95,171.84
  6. Step 6: Final answer
    x = 92,946.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.