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Finding the Fourth Proportional to 159,790.56, 220,599.36 and 96,144

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Solution

The fourth proportional to 159,790.56, 220,599.36 and 96,144 is: 132,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,790.56 : 220,599.36 = 96,144 : x
  2. Step 2: Convert to fraction form
    159,790.56/220,599.36 = 96,144/x
  3. Step 3: Cross multiply
    159,790.56x = 220,599.36 × 96,144
  4. Step 4: Simplify right side
    159,790.56x = 21,209,304,867.84
  5. Step 5: Solve for x
    x = 21,209,304,867.84/159,790.56
  6. Step 6: Final answer
    x = 132,731.90

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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.