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Finding the Fourth Proportional to 192,002.36, 288,253.01 and 147,660.53

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Solution

The fourth proportional to 192,002.36, 288,253.01 and 147,660.53 is: 221,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002.36 : 288,253.01 = 147,660.53 : x
  2. Step 2: Convert to fraction form
    192,002.36/288,253.01 = 147,660.53/x
  3. Step 3: Cross multiply
    192,002.36x = 288,253.01 × 147,660.53
  4. Step 4: Simplify right side
    192,002.36x = 42,563,591,158.58
  5. Step 5: Solve for x
    x = 42,563,591,158.58/192,002.36
  6. Step 6: Final answer
    x = 221,682.65

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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.