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Finding the Fourth Proportional to 200,406.36, 300,614.40 and 67,290.96

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Solution

The fourth proportional to 200,406.36, 300,614.40 and 67,290.96 is: 100,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406.36 : 300,614.40 = 67,290.96 : x
  2. Step 2: Convert to fraction form
    200,406.36/300,614.40 = 67,290.96/x
  3. Step 3: Cross multiply
    200,406.36x = 300,614.40 × 67,290.96
  4. Step 4: Simplify right side
    200,406.36x = 20,228,631,565.82
  5. Step 5: Solve for x
    x = 20,228,631,565.82/200,406.36
  6. Step 6: Final answer
    x = 100,938.07

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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.