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Finding the Fourth Proportional to 149,419.04, 206,193 and 81,434.66

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Solution

The fourth proportional to 149,419.04, 206,193 and 81,434.66 is: 112,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,419.04 : 206,193 = 81,434.66 : x
  2. Step 2: Convert to fraction form
    149,419.04/206,193 = 81,434.66/x
  3. Step 3: Cross multiply
    149,419.04x = 206,193 × 81,434.66
  4. Step 4: Simplify right side
    149,419.04x = 16,791,256,849.38
  5. Step 5: Solve for x
    x = 16,791,256,849.38/149,419.04
  6. Step 6: Final answer
    x = 112,376.96

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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.