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Finding the Fourth Proportional to 156,659.22, 216,191.97 and 85,039.38

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Solution

The fourth proportional to 156,659.22, 216,191.97 and 85,039.38 is: 117,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,659.22 : 216,191.97 = 85,039.38 : x
  2. Step 2: Convert to fraction form
    156,659.22/216,191.97 = 85,039.38/x
  3. Step 3: Cross multiply
    156,659.22x = 216,191.97 × 85,039.38
  4. Step 4: Simplify right side
    156,659.22x = 18,384,831,089.78
  5. Step 5: Solve for x
    x = 18,384,831,089.78/156,659.22
  6. Step 6: Final answer
    x = 117,355.56

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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.