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Finding the Fourth Proportional to 213,301.44, 319,919.28 and 71,149.20

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Solution

The fourth proportional to 213,301.44, 319,919.28 and 71,149.20 is: 106,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,301.44 : 319,919.28 = 71,149.20 : x
  2. Step 2: Convert to fraction form
    213,301.44/319,919.28 = 71,149.20/x
  3. Step 3: Cross multiply
    213,301.44x = 319,919.28 × 71,149.20
  4. Step 4: Simplify right side
    213,301.44x = 22,762,000,836.58
  5. Step 5: Solve for x
    x = 22,762,000,836.58/213,301.44
  6. Step 6: Final answer
    x = 106,712.83

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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.