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Finding the Fourth Proportional to 178,706.52, 267,981.01 and 83,963.66

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Solution

The fourth proportional to 178,706.52, 267,981.01 and 83,963.66 is: 125,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,706.52 : 267,981.01 = 83,963.66 : x
  2. Step 2: Convert to fraction form
    178,706.52/267,981.01 = 83,963.66/x
  3. Step 3: Cross multiply
    178,706.52x = 267,981.01 × 83,963.66
  4. Step 4: Simplify right side
    178,706.52x = 22,500,664,860.28
  5. Step 5: Solve for x
    x = 22,500,664,860.28/178,706.52
  6. Step 6: Final answer
    x = 125,908.47

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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.