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Finding the Fourth Proportional to 150,006.56, 224,751.28 and 99,374

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Solution

The fourth proportional to 150,006.56, 224,751.28 and 99,374 is: 148,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,006.56 : 224,751.28 = 99,374 : x
  2. Step 2: Convert to fraction form
    150,006.56/224,751.28 = 99,374/x
  3. Step 3: Cross multiply
    150,006.56x = 224,751.28 × 99,374
  4. Step 4: Simplify right side
    150,006.56x = 22,334,433,698.72
  5. Step 5: Solve for x
    x = 22,334,433,698.72/150,006.56
  6. Step 6: Final answer
    x = 148,889.71

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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.