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Finding the Fourth Proportional to 159,846.32, 220,589.52 and 88,224.78

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Solution

The fourth proportional to 159,846.32, 220,589.52 and 88,224.78 is: 121,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,846.32 : 220,589.52 = 88,224.78 : x
  2. Step 2: Convert to fraction form
    159,846.32/220,589.52 = 88,224.78/x
  3. Step 3: Cross multiply
    159,846.32x = 220,589.52 × 88,224.78
  4. Step 4: Simplify right side
    159,846.32x = 19,461,461,872.31
  5. Step 5: Solve for x
    x = 19,461,461,872.31/159,846.32
  6. Step 6: Final answer
    x = 121,751.08

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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.