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Finding the Fourth Proportional to 159,352.97, 238,524.01 and 89,019.05

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Solution

The fourth proportional to 159,352.97, 238,524.01 and 89,019.05 is: 133,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,352.97 : 238,524.01 = 89,019.05 : x
  2. Step 2: Convert to fraction form
    159,352.97/238,524.01 = 89,019.05/x
  3. Step 3: Cross multiply
    159,352.97x = 238,524.01 × 89,019.05
  4. Step 4: Simplify right side
    159,352.97x = 21,233,180,772.39
  5. Step 5: Solve for x
    x = 21,233,180,772.39/159,352.97
  6. Step 6: Final answer
    x = 133,246.22

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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.