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Finding the Fourth Proportional to 100,721.80, 151,082.70 and 48,233.80

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Solution

The fourth proportional to 100,721.80, 151,082.70 and 48,233.80 is: 72,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,721.80 : 151,082.70 = 48,233.80 : x
  2. Step 2: Convert to fraction form
    100,721.80/151,082.70 = 48,233.80/x
  3. Step 3: Cross multiply
    100,721.80x = 151,082.70 × 48,233.80
  4. Step 4: Simplify right side
    100,721.80x = 7,287,292,735.26
  5. Step 5: Solve for x
    x = 7,287,292,735.26/100,721.80
  6. Step 6: Final answer
    x = 72,350.70

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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.