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Finding the Fourth Proportional to 160,959.96, 222,121.32 and 89,335.68

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Solution

The fourth proportional to 160,959.96, 222,121.32 and 89,335.68 is: 123,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,959.96 : 222,121.32 = 89,335.68 : x
  2. Step 2: Convert to fraction form
    160,959.96/222,121.32 = 89,335.68/x
  3. Step 3: Cross multiply
    160,959.96x = 222,121.32 × 89,335.68
  4. Step 4: Simplify right side
    160,959.96x = 19,843,359,164.70
  5. Step 5: Solve for x
    x = 19,843,359,164.70/160,959.96
  6. Step 6: Final answer
    x = 123,281.34

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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.