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Finding the Fourth Proportional to 149,402.35, 206,169.24 and 81,417.87

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Solution

The fourth proportional to 149,402.35, 206,169.24 and 81,417.87 is: 112,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,402.35 : 206,169.24 = 81,417.87 : x
  2. Step 2: Convert to fraction form
    149,402.35/206,169.24 = 81,417.87/x
  3. Step 3: Cross multiply
    149,402.35x = 206,169.24 × 81,417.87
  4. Step 4: Simplify right side
    149,402.35x = 16,785,859,349.47
  5. Step 5: Solve for x
    x = 16,785,859,349.47/149,402.35
  6. Step 6: Final answer
    x = 112,353.38

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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.