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Finding the Fourth Proportional to 227,906.38, 314,306.49 and 189,792.13

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Solution

The fourth proportional to 227,906.38, 314,306.49 and 189,792.13 is: 261,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,906.38 : 314,306.49 = 189,792.13 : x
  2. Step 2: Convert to fraction form
    227,906.38/314,306.49 = 189,792.13/x
  3. Step 3: Cross multiply
    227,906.38x = 314,306.49 × 189,792.13
  4. Step 4: Simplify right side
    227,906.38x = 59,652,898,725.20
  5. Step 5: Solve for x
    x = 59,652,898,725.20/227,906.38
  6. Step 6: Final answer
    x = 261,743.00

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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.