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Finding the Fourth Proportional to 100,856.80, 151,306.80 and 30,743.20

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Solution

The fourth proportional to 100,856.80, 151,306.80 and 30,743.20 is: 46,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856.80 : 151,306.80 = 30,743.20 : x
  2. Step 2: Convert to fraction form
    100,856.80/151,306.80 = 30,743.20/x
  3. Step 3: Cross multiply
    100,856.80x = 151,306.80 × 30,743.20
  4. Step 4: Simplify right side
    100,856.80x = 4,651,655,213.76
  5. Step 5: Solve for x
    x = 4,651,655,213.76/100,856.80
  6. Step 6: Final answer
    x = 46,121.38

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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.