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Finding the Fourth Proportional to 150,286.14, 207,394.89 and 83,218.14

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Solution

The fourth proportional to 150,286.14, 207,394.89 and 83,218.14 is: 114,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,286.14 : 207,394.89 = 83,218.14 : x
  2. Step 2: Convert to fraction form
    150,286.14/207,394.89 = 83,218.14/x
  3. Step 3: Cross multiply
    150,286.14x = 207,394.89 × 83,218.14
  4. Step 4: Simplify right side
    150,286.14x = 17,259,016,991.30
  5. Step 5: Solve for x
    x = 17,259,016,991.30/150,286.14
  6. Step 6: Final answer
    x = 114,841.04

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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.