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Finding the Fourth Proportional to 134,047.60, 200,974.20 and 55,121.20

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Solution

The fourth proportional to 134,047.60, 200,974.20 and 55,121.20 is: 82,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,047.60 : 200,974.20 = 55,121.20 : x
  2. Step 2: Convert to fraction form
    134,047.60/200,974.20 = 55,121.20/x
  3. Step 3: Cross multiply
    134,047.60x = 200,974.20 × 55,121.20
  4. Step 4: Simplify right side
    134,047.60x = 11,077,939,073.04
  5. Step 5: Solve for x
    x = 11,077,939,073.04/134,047.60
  6. Step 6: Final answer
    x = 82,641.83

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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.