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Finding the Fourth Proportional to 150,452.64, 225,581.76 and 75,530.88

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Solution

The fourth proportional to 150,452.64, 225,581.76 and 75,530.88 is: 113,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,452.64 : 225,581.76 = 75,530.88 : x
  2. Step 2: Convert to fraction form
    150,452.64/225,581.76 = 75,530.88/x
  3. Step 3: Cross multiply
    150,452.64x = 225,581.76 × 75,530.88
  4. Step 4: Simplify right side
    150,452.64x = 17,038,388,844.75
  5. Step 5: Solve for x
    x = 17,038,388,844.75/150,452.64
  6. Step 6: Final answer
    x = 113,247.52

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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.