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Finding the Fourth Proportional to 156,959.38, 216,612.80 and 85,337.86

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Solution

The fourth proportional to 156,959.38, 216,612.80 and 85,337.86 is: 117,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959.38 : 216,612.80 = 85,337.86 : x
  2. Step 2: Convert to fraction form
    156,959.38/216,612.80 = 85,337.86/x
  3. Step 3: Cross multiply
    156,959.38x = 216,612.80 × 85,337.86
  4. Step 4: Simplify right side
    156,959.38x = 18,485,272,800.61
  5. Step 5: Solve for x
    x = 18,485,272,800.61/156,959.38
  6. Step 6: Final answer
    x = 117,771.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.