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Finding the Fourth Proportional to 160,942.80, 222,115.02 and 89,336.64

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Solution

The fourth proportional to 160,942.80, 222,115.02 and 89,336.64 is: 123,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,942.80 : 222,115.02 = 89,336.64 : x
  2. Step 2: Convert to fraction form
    160,942.80/222,115.02 = 89,336.64/x
  3. Step 3: Cross multiply
    160,942.80x = 222,115.02 × 89,336.64
  4. Step 4: Simplify right side
    160,942.80x = 19,843,009,580.33
  5. Step 5: Solve for x
    x = 19,843,009,580.33/160,942.80
  6. Step 6: Final answer
    x = 123,292.31

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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.