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Finding the Fourth Proportional to 160,863.93, 221,974.43 and 89,226.09

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Solution

The fourth proportional to 160,863.93, 221,974.43 and 89,226.09 is: 123,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,863.93 : 221,974.43 = 89,226.09 : x
  2. Step 2: Convert to fraction form
    160,863.93/221,974.43 = 89,226.09/x
  3. Step 3: Cross multiply
    160,863.93x = 221,974.43 × 89,226.09
  4. Step 4: Simplify right side
    160,863.93x = 19,805,910,022.75
  5. Step 5: Solve for x
    x = 19,805,910,022.75/160,863.93
  6. Step 6: Final answer
    x = 123,122.13

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1.5x scale

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.