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Finding the Fourth Proportional to 230,490.97, 318,061.29 and 128,512.08

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Solution

The fourth proportional to 230,490.97, 318,061.29 and 128,512.08 is: 177,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,490.97 : 318,061.29 = 128,512.08 : x
  2. Step 2: Convert to fraction form
    230,490.97/318,061.29 = 128,512.08/x
  3. Step 3: Cross multiply
    230,490.97x = 318,061.29 × 128,512.08
  4. Step 4: Simplify right side
    230,490.97x = 40,874,717,945.38
  5. Step 5: Solve for x
    x = 40,874,717,945.38/230,490.97
  6. Step 6: Final answer
    x = 177,337.61

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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.