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Finding the Fourth Proportional to 272,001.90, 408,002.85 and 147,585.90

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Solution

The fourth proportional to 272,001.90, 408,002.85 and 147,585.90 is: 221,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,001.90 : 408,002.85 = 147,585.90 : x
  2. Step 2: Convert to fraction form
    272,001.90/408,002.85 = 147,585.90/x
  3. Step 3: Cross multiply
    272,001.90x = 408,002.85 × 147,585.90
  4. Step 4: Simplify right side
    272,001.90x = 60,215,467,819.82
  5. Step 5: Solve for x
    x = 60,215,467,819.82/272,001.90
  6. Step 6: Final answer
    x = 221,378.85

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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.