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Finding the Fourth Proportional to 158,338.32, 218,523.36 and 93,846

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Solution

The fourth proportional to 158,338.32, 218,523.36 and 93,846 is: 129,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,338.32 : 218,523.36 = 93,846 : x
  2. Step 2: Convert to fraction form
    158,338.32/218,523.36 = 93,846/x
  3. Step 3: Cross multiply
    158,338.32x = 218,523.36 × 93,846
  4. Step 4: Simplify right side
    158,338.32x = 20,507,543,242.56
  5. Step 5: Solve for x
    x = 20,507,543,242.56/158,338.32
  6. Step 6: Final answer
    x = 129,517.25

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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.