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Finding the Fourth Proportional to 270,827.68, 406,279.32 and 113,019.97

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Solution

The fourth proportional to 270,827.68, 406,279.32 and 113,019.97 is: 169,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,827.68 : 406,279.32 = 113,019.97 : x
  2. Step 2: Convert to fraction form
    270,827.68/406,279.32 = 113,019.97/x
  3. Step 3: Cross multiply
    270,827.68x = 406,279.32 × 113,019.97
  4. Step 4: Simplify right side
    270,827.68x = 45,917,676,558.02
  5. Step 5: Solve for x
    x = 45,917,676,558.02/270,827.68
  6. Step 6: Final answer
    x = 169,545.73

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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.