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Finding the Fourth Proportional to 150,387.96, 207,526.44 and 82,391.40

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Solution

The fourth proportional to 150,387.96, 207,526.44 and 82,391.40 is: 113,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,387.96 : 207,526.44 = 82,391.40 : x
  2. Step 2: Convert to fraction form
    150,387.96/207,526.44 = 82,391.40/x
  3. Step 3: Cross multiply
    150,387.96x = 207,526.44 × 82,391.40
  4. Step 4: Simplify right side
    150,387.96x = 17,098,393,928.62
  5. Step 5: Solve for x
    x = 17,098,393,928.62/150,387.96
  6. Step 6: Final answer
    x = 113,695.23

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Why These Related Problems?

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