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Finding the Fourth Proportional to 185,882.80, 278,516.40 and 106,859.20

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Solution

The fourth proportional to 185,882.80, 278,516.40 and 106,859.20 is: 160,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,882.80 : 278,516.40 = 106,859.20 : x
  2. Step 2: Convert to fraction form
    185,882.80/278,516.40 = 106,859.20/x
  3. Step 3: Cross multiply
    185,882.80x = 278,516.40 × 106,859.20
  4. Step 4: Simplify right side
    185,882.80x = 29,762,039,690.88
  5. Step 5: Solve for x
    x = 29,762,039,690.88/185,882.80
  6. Step 6: Final answer
    x = 160,111.85

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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.