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Finding the Fourth Proportional to 192,807.95, 288,835.27 and 132,825.83

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Solution

The fourth proportional to 192,807.95, 288,835.27 and 132,825.83 is: 198,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,807.95 : 288,835.27 = 132,825.83 : x
  2. Step 2: Convert to fraction form
    192,807.95/288,835.27 = 132,825.83/x
  3. Step 3: Cross multiply
    192,807.95x = 288,835.27 × 132,825.83
  4. Step 4: Simplify right side
    192,807.95x = 38,364,782,694.78
  5. Step 5: Solve for x
    x = 38,364,782,694.78/192,807.95
  6. Step 6: Final answer
    x = 198,979.26

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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.