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Finding the Fourth Proportional to 209,863.87, 289,612.53 and 114,370.54

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Solution

The fourth proportional to 209,863.87, 289,612.53 and 114,370.54 is: 157,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.87 : 289,612.53 = 114,370.54 : x
  2. Step 2: Convert to fraction form
    209,863.87/289,612.53 = 114,370.54/x
  3. Step 3: Cross multiply
    209,863.87x = 289,612.53 × 114,370.54
  4. Step 4: Simplify right side
    209,863.87x = 33,123,141,446.87
  5. Step 5: Solve for x
    x = 33,123,141,446.87/209,863.87
  6. Step 6: Final answer
    x = 157,831.56

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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.