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Finding the Fourth Proportional to 185,882, 278,666.24 and 80,621.68

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Solution

The fourth proportional to 185,882, 278,666.24 and 80,621.68 is: 120,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,882 : 278,666.24 = 80,621.68 : x
  2. Step 2: Convert to fraction form
    185,882/278,666.24 = 80,621.68/x
  3. Step 3: Cross multiply
    185,882x = 278,666.24 × 80,621.68
  4. Step 4: Simplify right side
    185,882x = 22,466,540,428.08
  5. Step 5: Solve for x
    x = 22,466,540,428.08/185,882
  6. Step 6: Final answer
    x = 120,864.53

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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.