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Finding the Fourth Proportional to 200,167.80, 276,193.20 and 114,125.16

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Solution

The fourth proportional to 200,167.80, 276,193.20 and 114,125.16 is: 157,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,167.80 : 276,193.20 = 114,125.16 : x
  2. Step 2: Convert to fraction form
    200,167.80/276,193.20 = 114,125.16/x
  3. Step 3: Cross multiply
    200,167.80x = 276,193.20 × 114,125.16
  4. Step 4: Simplify right side
    200,167.80x = 31,520,593,140.91
  5. Step 5: Solve for x
    x = 31,520,593,140.91/200,167.80
  6. Step 6: Final answer
    x = 157,470.85

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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.