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Finding the Fourth Proportional to 178,116.52, 267,203.82 and 84,590.68

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Solution

The fourth proportional to 178,116.52, 267,203.82 and 84,590.68 is: 126,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,116.52 : 267,203.82 = 84,590.68 : x
  2. Step 2: Convert to fraction form
    178,116.52/267,203.82 = 84,590.68/x
  3. Step 3: Cross multiply
    178,116.52x = 267,203.82 × 84,590.68
  4. Step 4: Simplify right side
    178,116.52x = 22,602,952,832.40
  5. Step 5: Solve for x
    x = 22,602,952,832.40/178,116.52
  6. Step 6: Final answer
    x = 126,899.81

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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.