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Finding the Fourth Proportional to 150,489.24, 207,676.89 and 85,967.01

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Solution

The fourth proportional to 150,489.24, 207,676.89 and 85,967.01 is: 118,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,489.24 : 207,676.89 = 85,967.01 : x
  2. Step 2: Convert to fraction form
    150,489.24/207,676.89 = 85,967.01/x
  3. Step 3: Cross multiply
    150,489.24x = 207,676.89 × 85,967.01
  4. Step 4: Simplify right side
    150,489.24x = 17,853,361,279.40
  5. Step 5: Solve for x
    x = 17,853,361,279.40/150,489.24
  6. Step 6: Final answer
    x = 118,635.47

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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.