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Finding the Fourth Proportional to 178,543.80, 267,443.10 and 83,854.80

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Solution

The fourth proportional to 178,543.80, 267,443.10 and 83,854.80 is: 125,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,543.80 : 267,443.10 = 83,854.80 : x
  2. Step 2: Convert to fraction form
    178,543.80/267,443.10 = 83,854.80/x
  3. Step 3: Cross multiply
    178,543.80x = 267,443.10 × 83,854.80
  4. Step 4: Simplify right side
    178,543.80x = 22,426,387,661.88
  5. Step 5: Solve for x
    x = 22,426,387,661.88/178,543.80
  6. Step 6: Final answer
    x = 125,607.20

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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.