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Finding the Fourth Proportional to 200,551.10, 276,725.43 and 114,470.78

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Solution

The fourth proportional to 200,551.10, 276,725.43 and 114,470.78 is: 157,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,551.10 : 276,725.43 = 114,470.78 : x
  2. Step 2: Convert to fraction form
    200,551.10/276,725.43 = 114,470.78/x
  3. Step 3: Cross multiply
    200,551.10x = 276,725.43 × 114,470.78
  4. Step 4: Simplify right side
    200,551.10x = 31,676,975,817.94
  5. Step 5: Solve for x
    x = 31,676,975,817.94/200,551.10
  6. Step 6: Final answer
    x = 157,949.65

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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.