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Finding the Fourth Proportional to 150,116.85, 207,159.39 and 82,132.97

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Solution

The fourth proportional to 150,116.85, 207,159.39 and 82,132.97 is: 113,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,116.85 : 207,159.39 = 82,132.97 : x
  2. Step 2: Convert to fraction form
    150,116.85/207,159.39 = 82,132.97/x
  3. Step 3: Cross multiply
    150,116.85x = 207,159.39 × 82,132.97
  4. Step 4: Simplify right side
    150,116.85x = 17,014,614,928.29
  5. Step 5: Solve for x
    x = 17,014,614,928.29/150,116.85
  6. Step 6: Final answer
    x = 113,342.47

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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.