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Finding the Fourth Proportional to 150,337.82, 225,343.71 and 75,277.01

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Solution

The fourth proportional to 150,337.82, 225,343.71 and 75,277.01 is: 112,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,337.82 : 225,343.71 = 75,277.01 : x
  2. Step 2: Convert to fraction form
    150,337.82/225,343.71 = 75,277.01/x
  3. Step 3: Cross multiply
    150,337.82x = 225,343.71 × 75,277.01
  4. Step 4: Simplify right side
    150,337.82x = 16,963,199,584.39
  5. Step 5: Solve for x
    x = 16,963,199,584.39/150,337.82
  6. Step 6: Final answer
    x = 112,833.88

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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.