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Finding the Fourth Proportional to 258,219.50, 387,329.31 and 80,728.11

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Solution

The fourth proportional to 258,219.50, 387,329.31 and 80,728.11 is: 121,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,219.50 : 387,329.31 = 80,728.11 : x
  2. Step 2: Convert to fraction form
    258,219.50/387,329.31 = 80,728.11/x
  3. Step 3: Cross multiply
    258,219.50x = 387,329.31 × 80,728.11
  4. Step 4: Simplify right side
    258,219.50x = 31,268,363,143.90
  5. Step 5: Solve for x
    x = 31,268,363,143.90/258,219.50
  6. Step 6: Final answer
    x = 121,092.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.