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Finding the Fourth Proportional to 192,002.30, 288,003.45 and 132,127.10

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Solution

The fourth proportional to 192,002.30, 288,003.45 and 132,127.10 is: 198,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002.30 : 288,003.45 = 132,127.10 : x
  2. Step 2: Convert to fraction form
    192,002.30/288,003.45 = 132,127.10/x
  3. Step 3: Cross multiply
    192,002.30x = 288,003.45 × 132,127.10
  4. Step 4: Simplify right side
    192,002.30x = 38,053,060,638.50
  5. Step 5: Solve for x
    x = 38,053,060,638.50/192,002.30
  6. Step 6: Final answer
    x = 198,190.65

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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.