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Finding the Fourth Proportional to 182,001.40, 272,937.30 and 82,209.40

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Solution

The fourth proportional to 182,001.40, 272,937.30 and 82,209.40 is: 123,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,001.40 : 272,937.30 = 82,209.40 : x
  2. Step 2: Convert to fraction form
    182,001.40/272,937.30 = 82,209.40/x
  3. Step 3: Cross multiply
    182,001.40x = 272,937.30 × 82,209.40
  4. Step 4: Simplify right side
    182,001.40x = 22,438,011,670.62
  5. Step 5: Solve for x
    x = 22,438,011,670.62/182,001.40
  6. Step 6: Final answer
    x = 123,284.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.