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Finding the Fourth Proportional to 101,158.70, 151,738.05 and 65,729.30

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Solution

The fourth proportional to 101,158.70, 151,738.05 and 65,729.30 is: 98,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,158.70 : 151,738.05 = 65,729.30 : x
  2. Step 2: Convert to fraction form
    101,158.70/151,738.05 = 65,729.30/x
  3. Step 3: Cross multiply
    101,158.70x = 151,738.05 × 65,729.30
  4. Step 4: Simplify right side
    101,158.70x = 9,973,635,809.87
  5. Step 5: Solve for x
    x = 9,973,635,809.87/101,158.70
  6. Step 6: Final answer
    x = 98,593.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.