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Finding the Fourth Proportional to 209,542.26, 289,168.34 and 114,049.65

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Solution

The fourth proportional to 209,542.26, 289,168.34 and 114,049.65 is: 157,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,542.26 : 289,168.34 = 114,049.65 : x
  2. Step 2: Convert to fraction form
    209,542.26/289,168.34 = 114,049.65/x
  3. Step 3: Cross multiply
    209,542.26x = 289,168.34 × 114,049.65
  4. Step 4: Simplify right side
    209,542.26x = 32,979,547,397.83
  5. Step 5: Solve for x
    x = 32,979,547,397.83/209,542.26
  6. Step 6: Final answer
    x = 157,388.53

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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.