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Finding the Fourth Proportional to 301,082.26, 451,624.18 and 101,542.80

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Solution

The fourth proportional to 301,082.26, 451,624.18 and 101,542.80 is: 152,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.26 : 451,624.18 = 101,542.80 : x
  2. Step 2: Convert to fraction form
    301,082.26/451,624.18 = 101,542.80/x
  3. Step 3: Cross multiply
    301,082.26x = 451,624.18 × 101,542.80
  4. Step 4: Simplify right side
    301,082.26x = 45,859,183,784.90
  5. Step 5: Solve for x
    x = 45,859,183,784.90/301,082.26
  6. Step 6: Final answer
    x = 152,314.47

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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.