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Finding the Fourth Proportional to 111,363.20, 167,037.12 and 52,212

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Solution

The fourth proportional to 111,363.20, 167,037.12 and 52,212 is: 78,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,363.20 : 167,037.12 = 52,212 : x
  2. Step 2: Convert to fraction form
    111,363.20/167,037.12 = 52,212/x
  3. Step 3: Cross multiply
    111,363.20x = 167,037.12 × 52,212
  4. Step 4: Simplify right side
    111,363.20x = 8,721,342,109.44
  5. Step 5: Solve for x
    x = 8,721,342,109.44/111,363.20
  6. Step 6: Final answer
    x = 78,314.40

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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.