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Finding the Fourth Proportional to 185,359.84, 278,086.46 and 85,589.96

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Solution

The fourth proportional to 185,359.84, 278,086.46 and 85,589.96 is: 128,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,359.84 : 278,086.46 = 85,589.96 : x
  2. Step 2: Convert to fraction form
    185,359.84/278,086.46 = 85,589.96/x
  3. Step 3: Cross multiply
    185,359.84x = 278,086.46 × 85,589.96
  4. Step 4: Simplify right side
    185,359.84x = 23,801,408,987.94
  5. Step 5: Solve for x
    x = 23,801,408,987.94/185,359.84
  6. Step 6: Final answer
    x = 128,406.50

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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.