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Finding the Fourth Proportional to 164,672.66, 227,249.16 and 89,221.16

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Solution

The fourth proportional to 164,672.66, 227,249.16 and 89,221.16 is: 123,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,672.66 : 227,249.16 = 89,221.16 : x
  2. Step 2: Convert to fraction form
    164,672.66/227,249.16 = 89,221.16/x
  3. Step 3: Cross multiply
    164,672.66x = 227,249.16 × 89,221.16
  4. Step 4: Simplify right side
    164,672.66x = 20,275,433,664.23
  5. Step 5: Solve for x
    x = 20,275,433,664.23/164,672.66
  6. Step 6: Final answer
    x = 123,125.68

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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.