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Finding the Fourth Proportional to 185,892.30, 278,839.38 and 45,650.94

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Solution

The fourth proportional to 185,892.30, 278,839.38 and 45,650.94 is: 68,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.30 : 278,839.38 = 45,650.94 : x
  2. Step 2: Convert to fraction form
    185,892.30/278,839.38 = 45,650.94/x
  3. Step 3: Cross multiply
    185,892.30x = 278,839.38 × 45,650.94
  4. Step 4: Simplify right side
    185,892.30x = 12,729,279,806.02
  5. Step 5: Solve for x
    x = 12,729,279,806.02/185,892.30
  6. Step 6: Final answer
    x = 68,476.64

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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.