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Finding the Fourth Proportional to 403,882.14, 605,823.18 and 108,394.14

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Solution

The fourth proportional to 403,882.14, 605,823.18 and 108,394.14 is: 162,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,882.14 : 605,823.18 = 108,394.14 : x
  2. Step 2: Convert to fraction form
    403,882.14/605,823.18 = 108,394.14/x
  3. Step 3: Cross multiply
    403,882.14x = 605,823.18 × 108,394.14
  4. Step 4: Simplify right side
    403,882.14x = 65,667,682,588.17
  5. Step 5: Solve for x
    x = 65,667,682,588.17/403,882.14
  6. Step 6: Final answer
    x = 162,591.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.