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Finding the Fourth Proportional to 156,005.93, 233,820.90 and 71,649.69

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Solution

The fourth proportional to 156,005.93, 233,820.90 and 71,649.69 is: 107,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,005.93 : 233,820.90 = 71,649.69 : x
  2. Step 2: Convert to fraction form
    156,005.93/233,820.90 = 71,649.69/x
  3. Step 3: Cross multiply
    156,005.93x = 233,820.90 × 71,649.69
  4. Step 4: Simplify right side
    156,005.93x = 16,753,195,000.52
  5. Step 5: Solve for x
    x = 16,753,195,000.52/156,005.93
  6. Step 6: Final answer
    x = 107,388.20

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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.