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Finding the Fourth Proportional to 209,514.29, 289,120.74 and 114,020.75

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Solution

The fourth proportional to 209,514.29, 289,120.74 and 114,020.75 is: 157,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,514.29 : 289,120.74 = 114,020.75 : x
  2. Step 2: Convert to fraction form
    209,514.29/289,120.74 = 114,020.75/x
  3. Step 3: Cross multiply
    209,514.29x = 289,120.74 × 114,020.75
  4. Step 4: Simplify right side
    209,514.29x = 32,965,762,169.75
  5. Step 5: Solve for x
    x = 32,965,762,169.75/209,514.29
  6. Step 6: Final answer
    x = 157,343.74

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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.