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Finding the Fourth Proportional to 200,574.75, 276,209.85 and 187,753.26

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Solution

The fourth proportional to 200,574.75, 276,209.85 and 187,753.26 is: 258,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,574.75 : 276,209.85 = 187,753.26 : x
  2. Step 2: Convert to fraction form
    200,574.75/276,209.85 = 187,753.26/x
  3. Step 3: Cross multiply
    200,574.75x = 276,209.85 × 187,753.26
  4. Step 4: Simplify right side
    200,574.75x = 51,859,299,781.61
  5. Step 5: Solve for x
    x = 51,859,299,781.61/200,574.75
  6. Step 6: Final answer
    x = 258,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.