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Finding the Fourth Proportional to 209,105.96, 288,572.10 and 123,071

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Solution

The fourth proportional to 209,105.96, 288,572.10 and 123,071 is: 169,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,105.96 : 288,572.10 = 123,071 : x
  2. Step 2: Convert to fraction form
    209,105.96/288,572.10 = 123,071/x
  3. Step 3: Cross multiply
    209,105.96x = 288,572.10 × 123,071
  4. Step 4: Simplify right side
    209,105.96x = 35,514,856,919.10
  5. Step 5: Solve for x
    x = 35,514,856,919.10/209,105.96
  6. Step 6: Final answer
    x = 169,841.44

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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.