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Finding the Fourth Proportional to 158,086.46, 218,164.54 and 86,466.49

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Solution

The fourth proportional to 158,086.46, 218,164.54 and 86,466.49 is: 119,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,086.46 : 218,164.54 = 86,466.49 : x
  2. Step 2: Convert to fraction form
    158,086.46/218,164.54 = 86,466.49/x
  3. Step 3: Cross multiply
    158,086.46x = 218,164.54 × 86,466.49
  4. Step 4: Simplify right side
    158,086.46x = 18,863,922,016.26
  5. Step 5: Solve for x
    x = 18,863,922,016.26/158,086.46
  6. Step 6: Final answer
    x = 119,326.61

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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.