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Finding the Fourth Proportional to 178,700.10, 267,971.41 and 83,957.21

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Solution

The fourth proportional to 178,700.10, 267,971.41 and 83,957.21 is: 125,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,700.10 : 267,971.41 = 83,957.21 : x
  2. Step 2: Convert to fraction form
    178,700.10/267,971.41 = 83,957.21/x
  3. Step 3: Cross multiply
    178,700.10x = 267,971.41 × 83,957.21
  4. Step 4: Simplify right side
    178,700.10x = 22,498,131,943.37
  5. Step 5: Solve for x
    x = 22,498,131,943.37/178,700.10
  6. Step 6: Final answer
    x = 125,898.82

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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.