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Finding the Fourth Proportional to 158,440.38, 218,647.74 and 85,843.38

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Solution

The fourth proportional to 158,440.38, 218,647.74 and 85,843.38 is: 118,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,440.38 : 218,647.74 = 85,843.38 : x
  2. Step 2: Convert to fraction form
    158,440.38/218,647.74 = 85,843.38/x
  3. Step 3: Cross multiply
    158,440.38x = 218,647.74 × 85,843.38
  4. Step 4: Simplify right side
    158,440.38x = 18,769,461,030.96
  5. Step 5: Solve for x
    x = 18,769,461,030.96/158,440.38
  6. Step 6: Final answer
    x = 118,463.87

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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.