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Finding the Fourth Proportional to 101,148.70, 151,723.05 and 65,719.30

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Solution

The fourth proportional to 101,148.70, 151,723.05 and 65,719.30 is: 98,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,148.70 : 151,723.05 = 65,719.30 : x
  2. Step 2: Convert to fraction form
    101,148.70/151,723.05 = 65,719.30/x
  3. Step 3: Cross multiply
    101,148.70x = 151,723.05 × 65,719.30
  4. Step 4: Simplify right side
    101,148.70x = 9,971,132,639.87
  5. Step 5: Solve for x
    x = 9,971,132,639.87/101,148.70
  6. Step 6: Final answer
    x = 98,578.95

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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.