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Finding the Fourth Proportional to 201,921.82, 302,824.40 and 68,799.13

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Solution

The fourth proportional to 201,921.82, 302,824.40 and 68,799.13 is: 103,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,921.82 : 302,824.40 = 68,799.13 : x
  2. Step 2: Convert to fraction form
    201,921.82/302,824.40 = 68,799.13/x
  3. Step 3: Cross multiply
    201,921.82x = 302,824.40 × 68,799.13
  4. Step 4: Simplify right side
    201,921.82x = 20,834,053,404.65
  5. Step 5: Solve for x
    x = 20,834,053,404.65/201,921.82
  6. Step 6: Final answer
    x = 103,178.81

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