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Finding the Fourth Proportional to 111,941.52, 167,776.20 and 52,707.84

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Solution

The fourth proportional to 111,941.52, 167,776.20 and 52,707.84 is: 78,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,941.52 : 167,776.20 = 52,707.84 : x
  2. Step 2: Convert to fraction form
    111,941.52/167,776.20 = 52,707.84/x
  3. Step 3: Cross multiply
    111,941.52x = 167,776.20 × 52,707.84
  4. Step 4: Simplify right side
    111,941.52x = 8,843,121,105.41
  5. Step 5: Solve for x
    x = 8,843,121,105.41/111,941.52
  6. Step 6: Final answer
    x = 78,997.69

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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.