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Finding the Fourth Proportional to 209,613.44, 289,267.88 and 114,121.13

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Solution

The fourth proportional to 209,613.44, 289,267.88 and 114,121.13 is: 157,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,613.44 : 289,267.88 = 114,121.13 : x
  2. Step 2: Convert to fraction form
    209,613.44/289,267.88 = 114,121.13/x
  3. Step 3: Cross multiply
    209,613.44x = 289,267.88 × 114,121.13
  4. Step 4: Simplify right side
    209,613.44x = 33,011,575,321.36
  5. Step 5: Solve for x
    x = 33,011,575,321.36/209,613.44
  6. Step 6: Final answer
    x = 157,487.87

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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.