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Finding the Fourth Proportional to 192,201.30, 288,301.95 and 125,846.10

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Solution

The fourth proportional to 192,201.30, 288,301.95 and 125,846.10 is: 188,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,201.30 : 288,301.95 = 125,846.10 : x
  2. Step 2: Convert to fraction form
    192,201.30/288,301.95 = 125,846.10/x
  3. Step 3: Cross multiply
    192,201.30x = 288,301.95 × 125,846.10
  4. Step 4: Simplify right side
    192,201.30x = 36,281,676,029.90
  5. Step 5: Solve for x
    x = 36,281,676,029.90/192,201.30
  6. Step 6: Final answer
    x = 188,769.15

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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.