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Finding the Fourth Proportional to 160,902.92, 222,046.16 and 89,282.89

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Solution

The fourth proportional to 160,902.92, 222,046.16 and 89,282.89 is: 123,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,902.92 : 222,046.16 = 89,282.89 : x
  2. Step 2: Convert to fraction form
    160,902.92/222,046.16 = 89,282.89/x
  3. Step 3: Cross multiply
    160,902.92x = 222,046.16 × 89,282.89
  4. Step 4: Simplify right side
    160,902.92x = 19,824,923,211.56
  5. Step 5: Solve for x
    x = 19,824,923,211.56/160,902.92
  6. Step 6: Final answer
    x = 123,210.46

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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.