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Finding the Fourth Proportional to 159,563.40, 239,229.90 and 89,464.20

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Solution

The fourth proportional to 159,563.40, 239,229.90 and 89,464.20 is: 134,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,563.40 : 239,229.90 = 89,464.20 : x
  2. Step 2: Convert to fraction form
    159,563.40/239,229.90 = 89,464.20/x
  3. Step 3: Cross multiply
    159,563.40x = 239,229.90 × 89,464.20
  4. Step 4: Simplify right side
    159,563.40x = 21,402,511,619.58
  5. Step 5: Solve for x
    x = 21,402,511,619.58/159,563.40
  6. Step 6: Final answer
    x = 134,131.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.