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Finding the Fourth Proportional to 202,864.40, 304,296.60 and 200,099.60

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Solution

The fourth proportional to 202,864.40, 304,296.60 and 200,099.60 is: 300,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,864.40 : 304,296.60 = 200,099.60 : x
  2. Step 2: Convert to fraction form
    202,864.40/304,296.60 = 200,099.60/x
  3. Step 3: Cross multiply
    202,864.40x = 304,296.60 × 200,099.60
  4. Step 4: Simplify right side
    202,864.40x = 60,889,627,941.36
  5. Step 5: Solve for x
    x = 60,889,627,941.36/202,864.40
  6. Step 6: Final answer
    x = 300,149.40

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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.