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Finding the Fourth Proportional to 192,269.80, 288,405.41 and 59,149.14

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Solution

The fourth proportional to 192,269.80, 288,405.41 and 59,149.14 is: 88,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,269.80 : 288,405.41 = 59,149.14 : x
  2. Step 2: Convert to fraction form
    192,269.80/288,405.41 = 59,149.14/x
  3. Step 3: Cross multiply
    192,269.80x = 288,405.41 × 59,149.14
  4. Step 4: Simplify right side
    192,269.80x = 17,058,931,972.85
  5. Step 5: Solve for x
    x = 17,058,931,972.85/192,269.80
  6. Step 6: Final answer
    x = 88,723.93

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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.