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Finding the Fourth Proportional to 181,894.80, 272,842.20 and 82,167.60

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Solution

The fourth proportional to 181,894.80, 272,842.20 and 82,167.60 is: 123,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,894.80 : 272,842.20 = 82,167.60 : x
  2. Step 2: Convert to fraction form
    181,894.80/272,842.20 = 82,167.60/x
  3. Step 3: Cross multiply
    181,894.80x = 272,842.20 × 82,167.60
  4. Step 4: Simplify right side
    181,894.80x = 22,418,788,752.72
  5. Step 5: Solve for x
    x = 22,418,788,752.72/181,894.80
  6. Step 6: Final answer
    x = 123,251.40

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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.