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Finding the Fourth Proportional to 108,568.20, 162,830.70 and 52,408.20

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Solution

The fourth proportional to 108,568.20, 162,830.70 and 52,408.20 is: 78,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,568.20 : 162,830.70 = 52,408.20 : x
  2. Step 2: Convert to fraction form
    108,568.20/162,830.70 = 52,408.20/x
  3. Step 3: Cross multiply
    108,568.20x = 162,830.70 × 52,408.20
  4. Step 4: Simplify right side
    108,568.20x = 8,533,663,891.74
  5. Step 5: Solve for x
    x = 8,533,663,891.74/108,568.20
  6. Step 6: Final answer
    x = 78,601.87

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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.