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Finding the Fourth Proportional to 272,714.85, 408,882.54 and 120,829.52

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Solution

The fourth proportional to 272,714.85, 408,882.54 and 120,829.52 is: 181,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,714.85 : 408,882.54 = 120,829.52 : x
  2. Step 2: Convert to fraction form
    272,714.85/408,882.54 = 120,829.52/x
  3. Step 3: Cross multiply
    272,714.85x = 408,882.54 × 120,829.52
  4. Step 4: Simplify right side
    272,714.85x = 49,405,082,519.90
  5. Step 5: Solve for x
    x = 49,405,082,519.90/272,714.85
  6. Step 6: Final answer
    x = 181,160.22

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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.