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Finding the Fourth Proportional to 150,032.46, 207,043.65 and 82,049.16

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Solution

The fourth proportional to 150,032.46, 207,043.65 and 82,049.16 is: 113,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032.46 : 207,043.65 = 82,049.16 : x
  2. Step 2: Convert to fraction form
    150,032.46/207,043.65 = 82,049.16/x
  3. Step 3: Cross multiply
    150,032.46x = 207,043.65 × 82,049.16
  4. Step 4: Simplify right side
    150,032.46x = 16,987,757,565.83
  5. Step 5: Solve for x
    x = 16,987,757,565.83/150,032.46
  6. Step 6: Final answer
    x = 113,227.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.