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Finding the Fourth Proportional to 159,572.56, 220,164.36 and 103,016.08

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Solution

The fourth proportional to 159,572.56, 220,164.36 and 103,016.08 is: 142,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,572.56 : 220,164.36 = 103,016.08 : x
  2. Step 2: Convert to fraction form
    159,572.56/220,164.36 = 103,016.08/x
  3. Step 3: Cross multiply
    159,572.56x = 220,164.36 × 103,016.08
  4. Step 4: Simplify right side
    159,572.56x = 22,680,469,322.91
  5. Step 5: Solve for x
    x = 22,680,469,322.91/159,572.56
  6. Step 6: Final answer
    x = 142,132.64

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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.