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Finding the Fourth Proportional to 166,167, 229,311.42 and 90,716.28

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Solution

The fourth proportional to 166,167, 229,311.42 and 90,716.28 is: 125,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,167 : 229,311.42 = 90,716.28 : x
  2. Step 2: Convert to fraction form
    166,167/229,311.42 = 90,716.28/x
  3. Step 3: Cross multiply
    166,167x = 229,311.42 × 90,716.28
  4. Step 4: Simplify right side
    166,167x = 20,802,278,983.92
  5. Step 5: Solve for x
    x = 20,802,278,983.92/166,167
  6. Step 6: Final answer
    x = 125,188.99

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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.