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Finding the Fourth Proportional to 192,002.30, 288,003.45 and 86,824.70

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Solution

The fourth proportional to 192,002.30, 288,003.45 and 86,824.70 is: 130,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002.30 : 288,003.45 = 86,824.70 : x
  2. Step 2: Convert to fraction form
    192,002.30/288,003.45 = 86,824.70/x
  3. Step 3: Cross multiply
    192,002.30x = 288,003.45 × 86,824.70
  4. Step 4: Simplify right side
    192,002.30x = 25,005,813,145.22
  5. Step 5: Solve for x
    x = 25,005,813,145.22/192,002.30
  6. Step 6: Final answer
    x = 130,237.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.