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Finding the Fourth Proportional to 209,974.30, 314,961.45 and 201,226.30

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Solution

The fourth proportional to 209,974.30, 314,961.45 and 201,226.30 is: 301,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,974.30 : 314,961.45 = 201,226.30 : x
  2. Step 2: Convert to fraction form
    209,974.30/314,961.45 = 201,226.30/x
  3. Step 3: Cross multiply
    209,974.30x = 314,961.45 × 201,226.30
  4. Step 4: Simplify right side
    209,974.30x = 63,378,527,226.14
  5. Step 5: Solve for x
    x = 63,378,527,226.14/209,974.30
  6. Step 6: Final answer
    x = 301,839.45

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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.