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Finding the Fourth Proportional to 100,471.20, 150,577.20 and 76,981.20

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Solution

The fourth proportional to 100,471.20, 150,577.20 and 76,981.20 is: 115,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.20 : 150,577.20 = 76,981.20 : x
  2. Step 2: Convert to fraction form
    100,471.20/150,577.20 = 76,981.20/x
  3. Step 3: Cross multiply
    100,471.20x = 150,577.20 × 76,981.20
  4. Step 4: Simplify right side
    100,471.20x = 11,591,613,548.64
  5. Step 5: Solve for x
    x = 11,591,613,548.64/100,471.20
  6. Step 6: Final answer
    x = 115,372.50

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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.