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Finding the Fourth Proportional to 200,349.36, 276,469.89 and 109,706.40

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Solution

The fourth proportional to 200,349.36, 276,469.89 and 109,706.40 is: 151,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,349.36 : 276,469.89 = 109,706.40 : x
  2. Step 2: Convert to fraction form
    200,349.36/276,469.89 = 109,706.40/x
  3. Step 3: Cross multiply
    200,349.36x = 276,469.89 × 109,706.40
  4. Step 4: Simplify right side
    200,349.36x = 30,330,516,340.30
  5. Step 5: Solve for x
    x = 30,330,516,340.30/200,349.36
  6. Step 6: Final answer
    x = 151,388.14

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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.