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Finding the Fourth Proportional to 164,651.64, 227,221.02 and 89,202.84

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Solution

The fourth proportional to 164,651.64, 227,221.02 and 89,202.84 is: 123,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,651.64 : 227,221.02 = 89,202.84 : x
  2. Step 2: Convert to fraction form
    164,651.64/227,221.02 = 89,202.84/x
  3. Step 3: Cross multiply
    164,651.64x = 227,221.02 × 89,202.84
  4. Step 4: Simplify right side
    164,651.64x = 20,268,760,291.70
  5. Step 5: Solve for x
    x = 20,268,760,291.70/164,651.64
  6. Step 6: Final answer
    x = 123,100.87

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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.