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Finding the Fourth Proportional to 100,754.24, 150,839.55 and 75,898.98

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Solution

The fourth proportional to 100,754.24, 150,839.55 and 75,898.98 is: 113,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,754.24 : 150,839.55 = 75,898.98 : x
  2. Step 2: Convert to fraction form
    100,754.24/150,839.55 = 75,898.98/x
  3. Step 3: Cross multiply
    100,754.24x = 150,839.55 × 75,898.98
  4. Step 4: Simplify right side
    100,754.24x = 11,448,567,988.66
  5. Step 5: Solve for x
    x = 11,448,567,988.66/100,754.24
  6. Step 6: Final answer
    x = 113,628.65

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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.