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Finding the Fourth Proportional to 158,339.32, 218,524.74 and 93,847

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Solution

The fourth proportional to 158,339.32, 218,524.74 and 93,847 is: 129,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,339.32 : 218,524.74 = 93,847 : x
  2. Step 2: Convert to fraction form
    158,339.32/218,524.74 = 93,847/x
  3. Step 3: Cross multiply
    158,339.32x = 218,524.74 × 93,847
  4. Step 4: Simplify right side
    158,339.32x = 20,507,891,274.78
  5. Step 5: Solve for x
    x = 20,507,891,274.78/158,339.32
  6. Step 6: Final answer
    x = 129,518.63

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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.