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Finding the Fourth Proportional to 158,476.38, 218,306.79 and 135,741.30

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Solution

The fourth proportional to 158,476.38, 218,306.79 and 135,741.30 is: 186,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,476.38 : 218,306.79 = 135,741.30 : x
  2. Step 2: Convert to fraction form
    158,476.38/218,306.79 = 135,741.30/x
  3. Step 3: Cross multiply
    158,476.38x = 218,306.79 × 135,741.30
  4. Step 4: Simplify right side
    158,476.38x = 29,633,247,473.43
  5. Step 5: Solve for x
    x = 29,633,247,473.43/158,476.38
  6. Step 6: Final answer
    x = 186,988.42

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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.