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Finding the Fourth Proportional to 100,542.64, 150,767.92 and 60,034.56

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Solution

The fourth proportional to 100,542.64, 150,767.92 and 60,034.56 is: 90,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.64 : 150,767.92 = 60,034.56 : x
  2. Step 2: Convert to fraction form
    100,542.64/150,767.92 = 60,034.56/x
  3. Step 3: Cross multiply
    100,542.64x = 150,767.92 × 60,034.56
  4. Step 4: Simplify right side
    100,542.64x = 9,051,285,739.32
  5. Step 5: Solve for x
    x = 9,051,285,739.32/100,542.64
  6. Step 6: Final answer
    x = 90,024.35

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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.