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Finding the Fourth Proportional to 100,853.10, 151,279.65 and 26,981.10

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Solution

The fourth proportional to 100,853.10, 151,279.65 and 26,981.10 is: 40,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853.10 : 151,279.65 = 26,981.10 : x
  2. Step 2: Convert to fraction form
    100,853.10/151,279.65 = 26,981.10/x
  3. Step 3: Cross multiply
    100,853.10x = 151,279.65 × 26,981.10
  4. Step 4: Simplify right side
    100,853.10x = 4,081,691,364.62
  5. Step 5: Solve for x
    x = 4,081,691,364.62/100,853.10
  6. Step 6: Final answer
    x = 40,471.65

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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.