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Finding the Fourth Proportional to 158,034.74, 218,086.53 and 86,415.27

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Solution

The fourth proportional to 158,034.74, 218,086.53 and 86,415.27 is: 119,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,034.74 : 218,086.53 = 86,415.27 : x
  2. Step 2: Convert to fraction form
    158,034.74/218,086.53 = 86,415.27/x
  3. Step 3: Cross multiply
    158,034.74x = 218,086.53 × 86,415.27
  4. Step 4: Simplify right side
    158,034.74x = 18,846,006,373.31
  5. Step 5: Solve for x
    x = 18,846,006,373.31/158,034.74
  6. Step 6: Final answer
    x = 119,252.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.