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Finding the Fourth Proportional to 100,081.26, 138,110.96 and 54,758.72

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Solution

The fourth proportional to 100,081.26, 138,110.96 and 54,758.72 is: 75,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,081.26 : 138,110.96 = 54,758.72 : x
  2. Step 2: Convert to fraction form
    100,081.26/138,110.96 = 54,758.72/x
  3. Step 3: Cross multiply
    100,081.26x = 138,110.96 × 54,758.72
  4. Step 4: Simplify right side
    100,081.26x = 7,562,778,423.22
  5. Step 5: Solve for x
    x = 7,562,778,423.22/100,081.26
  6. Step 6: Final answer
    x = 75,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.