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Finding the Fourth Proportional to 178,403.80, 267,233.10 and 83,714.80

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Solution

The fourth proportional to 178,403.80, 267,233.10 and 83,714.80 is: 125,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,403.80 : 267,233.10 = 83,714.80 : x
  2. Step 2: Convert to fraction form
    178,403.80/267,233.10 = 83,714.80/x
  3. Step 3: Cross multiply
    178,403.80x = 267,233.10 × 83,714.80
  4. Step 4: Simplify right side
    178,403.80x = 22,371,365,519.88
  5. Step 5: Solve for x
    x = 22,371,365,519.88/178,403.80
  6. Step 6: Final answer
    x = 125,397.36

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1.5x scale

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.