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Finding the Fourth Proportional to 200,790, 301,123.56 and 67,634.56

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Solution

The fourth proportional to 200,790, 301,123.56 and 67,634.56 is: 101,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790 : 301,123.56 = 67,634.56 : x
  2. Step 2: Convert to fraction form
    200,790/301,123.56 = 67,634.56/x
  3. Step 3: Cross multiply
    200,790x = 301,123.56 × 67,634.56
  4. Step 4: Simplify right side
    200,790x = 20,366,359,486.23
  5. Step 5: Solve for x
    x = 20,366,359,486.23/200,790
  6. Step 6: Final answer
    x = 101,431.14

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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.