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Finding the Fourth Proportional to 149,502.56, 206,363.52 and 89,092.16

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Solution

The fourth proportional to 149,502.56, 206,363.52 and 89,092.16 is: 122,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,502.56 : 206,363.52 = 89,092.16 : x
  2. Step 2: Convert to fraction form
    149,502.56/206,363.52 = 89,092.16/x
  3. Step 3: Cross multiply
    149,502.56x = 206,363.52 × 89,092.16
  4. Step 4: Simplify right side
    149,502.56x = 18,385,371,742.00
  5. Step 5: Solve for x
    x = 18,385,371,742.00/149,502.56
  6. Step 6: Final answer
    x = 122,976.97

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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.