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Finding the Fourth Proportional to 160,705.91, 221,759.24 and 89,079.83

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Solution

The fourth proportional to 160,705.91, 221,759.24 and 89,079.83 is: 122,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,705.91 : 221,759.24 = 89,079.83 : x
  2. Step 2: Convert to fraction form
    160,705.91/221,759.24 = 89,079.83/x
  3. Step 3: Cross multiply
    160,705.91x = 221,759.24 × 89,079.83
  4. Step 4: Simplify right side
    160,705.91x = 19,754,275,924.93
  5. Step 5: Solve for x
    x = 19,754,275,924.93/160,705.91
  6. Step 6: Final answer
    x = 122,921.90

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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.