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Finding the Fourth Proportional to 209,662, 289,340.04 and 120,238

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Solution

The fourth proportional to 209,662, 289,340.04 and 120,238 is: 165,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,662 : 289,340.04 = 120,238 : x
  2. Step 2: Convert to fraction form
    209,662/289,340.04 = 120,238/x
  3. Step 3: Cross multiply
    209,662x = 289,340.04 × 120,238
  4. Step 4: Simplify right side
    209,662x = 34,789,667,729.52
  5. Step 5: Solve for x
    x = 34,789,667,729.52/209,662
  6. Step 6: Final answer
    x = 165,932.16

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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.