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Finding the Fourth Proportional to 227,371.84, 313,588.18 and 200,089.02

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Solution

The fourth proportional to 227,371.84, 313,588.18 and 200,089.02 is: 275,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,371.84 : 313,588.18 = 200,089.02 : x
  2. Step 2: Convert to fraction form
    227,371.84/313,588.18 = 200,089.02/x
  3. Step 3: Cross multiply
    227,371.84x = 313,588.18 × 200,089.02
  4. Step 4: Simplify right side
    227,371.84x = 62,745,551,619.78
  5. Step 5: Solve for x
    x = 62,745,551,619.78/227,371.84
  6. Step 6: Final answer
    x = 275,960.08

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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.