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Finding the Fourth Proportional to 258,672.27, 356,964.08 and 145,494.75

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Solution

The fourth proportional to 258,672.27, 356,964.08 and 145,494.75 is: 200,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,672.27 : 356,964.08 = 145,494.75 : x
  2. Step 2: Convert to fraction form
    258,672.27/356,964.08 = 145,494.75/x
  3. Step 3: Cross multiply
    258,672.27x = 356,964.08 × 145,494.75
  4. Step 4: Simplify right side
    258,672.27x = 51,936,398,851.11
  5. Step 5: Solve for x
    x = 51,936,398,851.11/258,672.27
  6. Step 6: Final answer
    x = 200,780.70

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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.