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Finding the Fourth Proportional to 150,007.56, 224,752.78 and 99,375

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Solution

The fourth proportional to 150,007.56, 224,752.78 and 99,375 is: 148,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,007.56 : 224,752.78 = 99,375 : x
  2. Step 2: Convert to fraction form
    150,007.56/224,752.78 = 99,375/x
  3. Step 3: Cross multiply
    150,007.56x = 224,752.78 × 99,375
  4. Step 4: Simplify right side
    150,007.56x = 22,334,807,512.50
  5. Step 5: Solve for x
    x = 22,334,807,512.50/150,007.56
  6. Step 6: Final answer
    x = 148,891.21

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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.