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Finding the Fourth Proportional to 164,645.73, 227,210.81 and 89,194.23

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Solution

The fourth proportional to 164,645.73, 227,210.81 and 89,194.23 is: 123,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,645.73 : 227,210.81 = 89,194.23 : x
  2. Step 2: Convert to fraction form
    164,645.73/227,210.81 = 89,194.23/x
  3. Step 3: Cross multiply
    164,645.73x = 227,210.81 × 89,194.23
  4. Step 4: Simplify right side
    164,645.73x = 20,265,892,799.66
  5. Step 5: Solve for x
    x = 20,265,892,799.66/164,645.73
  6. Step 6: Final answer
    x = 123,087.87

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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.