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Finding the Fourth Proportional to 150,248.38, 207,342.78 and 82,265.36

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Solution

The fourth proportional to 150,248.38, 207,342.78 and 82,265.36 is: 113,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,248.38 : 207,342.78 = 82,265.36 : x
  2. Step 2: Convert to fraction form
    150,248.38/207,342.78 = 82,265.36/x
  3. Step 3: Cross multiply
    150,248.38x = 207,342.78 × 82,265.36
  4. Step 4: Simplify right side
    150,248.38x = 17,057,128,440.10
  5. Step 5: Solve for x
    x = 17,057,128,440.10/150,248.38
  6. Step 6: Final answer
    x = 113,526.21

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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.