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Finding the Fourth Proportional to 149,398.81, 206,167.80 and 81,416.38

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Solution

The fourth proportional to 149,398.81, 206,167.80 and 81,416.38 is: 112,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398.81 : 206,167.80 = 81,416.38 : x
  2. Step 2: Convert to fraction form
    149,398.81/206,167.80 = 81,416.38/x
  3. Step 3: Cross multiply
    149,398.81x = 206,167.80 × 81,416.38
  4. Step 4: Simplify right side
    149,398.81x = 16,785,435,948.56
  5. Step 5: Solve for x
    x = 16,785,435,948.56/149,398.81
  6. Step 6: Final answer
    x = 112,353.21

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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.