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Finding the Fourth Proportional to 111,376.80, 167,083.92 and 55,219.68

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Solution

The fourth proportional to 111,376.80, 167,083.92 and 55,219.68 is: 82,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,376.80 : 167,083.92 = 55,219.68 : x
  2. Step 2: Convert to fraction form
    111,376.80/167,083.92 = 55,219.68/x
  3. Step 3: Cross multiply
    111,376.80x = 167,083.92 × 55,219.68
  4. Step 4: Simplify right side
    111,376.80x = 9,226,320,595.55
  5. Step 5: Solve for x
    x = 9,226,320,595.55/111,376.80
  6. Step 6: Final answer
    x = 82,838.80

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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.