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Finding the Fourth Proportional to 192,801.20, 289,201.80 and 87,825.20

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Solution

The fourth proportional to 192,801.20, 289,201.80 and 87,825.20 is: 131,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,801.20 : 289,201.80 = 87,825.20 : x
  2. Step 2: Convert to fraction form
    192,801.20/289,201.80 = 87,825.20/x
  3. Step 3: Cross multiply
    192,801.20x = 289,201.80 × 87,825.20
  4. Step 4: Simplify right side
    192,801.20x = 25,399,205,925.36
  5. Step 5: Solve for x
    x = 25,399,205,925.36/192,801.20
  6. Step 6: Final answer
    x = 131,737.80

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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.