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Finding the Fourth Proportional to 100,206.50, 138,279.17 and 54,885.35

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Solution

The fourth proportional to 100,206.50, 138,279.17 and 54,885.35 is: 75,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.50 : 138,279.17 = 54,885.35 : x
  2. Step 2: Convert to fraction form
    100,206.50/138,279.17 = 54,885.35/x
  3. Step 3: Cross multiply
    100,206.50x = 138,279.17 × 54,885.35
  4. Step 4: Simplify right side
    100,206.50x = 7,589,501,126.07
  5. Step 5: Solve for x
    x = 7,589,501,126.07/100,206.50
  6. Step 6: Final answer
    x = 75,738.61

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