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Finding the Fourth Proportional to 150,126.88, 224,878.32 and 71,303.20

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Solution

The fourth proportional to 150,126.88, 224,878.32 and 71,303.20 is: 106,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,126.88 : 224,878.32 = 71,303.20 : x
  2. Step 2: Convert to fraction form
    150,126.88/224,878.32 = 71,303.20/x
  3. Step 3: Cross multiply
    150,126.88x = 224,878.32 × 71,303.20
  4. Step 4: Simplify right side
    150,126.88x = 16,034,543,826.62
  5. Step 5: Solve for x
    x = 16,034,543,826.62/150,126.88
  6. Step 6: Final answer
    x = 106,806.61

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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.