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Finding the Fourth Proportional to 156,776.60, 234,992.10 and 86,706.20

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Solution

The fourth proportional to 156,776.60, 234,992.10 and 86,706.20 is: 129,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776.60 : 234,992.10 = 86,706.20 : x
  2. Step 2: Convert to fraction form
    156,776.60/234,992.10 = 86,706.20/x
  3. Step 3: Cross multiply
    156,776.60x = 234,992.10 × 86,706.20
  4. Step 4: Simplify right side
    156,776.60x = 20,375,272,021.02
  5. Step 5: Solve for x
    x = 20,375,272,021.02/156,776.60
  6. Step 6: Final answer
    x = 129,963.73

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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.