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Finding the Fourth Proportional to 272,045.02, 408,136.64 and 159,820.12

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Solution

The fourth proportional to 272,045.02, 408,136.64 and 159,820.12 is: 239,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,045.02 : 408,136.64 = 159,820.12 : x
  2. Step 2: Convert to fraction form
    272,045.02/408,136.64 = 159,820.12/x
  3. Step 3: Cross multiply
    272,045.02x = 408,136.64 × 159,820.12
  4. Step 4: Simplify right side
    272,045.02x = 65,228,446,781.20
  5. Step 5: Solve for x
    x = 65,228,446,781.20/272,045.02
  6. Step 6: Final answer
    x = 239,770.78

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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.