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Finding the Fourth Proportional to 295,286.14, 407,489.19 and 161,151.10

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Solution

The fourth proportional to 295,286.14, 407,489.19 and 161,151.10 is: 222,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,286.14 : 407,489.19 = 161,151.10 : x
  2. Step 2: Convert to fraction form
    295,286.14/407,489.19 = 161,151.10/x
  3. Step 3: Cross multiply
    295,286.14x = 407,489.19 × 161,151.10
  4. Step 4: Simplify right side
    295,286.14x = 65,667,331,206.61
  5. Step 5: Solve for x
    x = 65,667,331,206.61/295,286.14
  6. Step 6: Final answer
    x = 222,385.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.