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Finding the Fourth Proportional to 202,098.54, 303,148.53 and 197,227.02

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Solution

The fourth proportional to 202,098.54, 303,148.53 and 197,227.02 is: 295,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.54 : 303,148.53 = 197,227.02 : x
  2. Step 2: Convert to fraction form
    202,098.54/303,148.53 = 197,227.02/x
  3. Step 3: Cross multiply
    202,098.54x = 303,148.53 × 197,227.02
  4. Step 4: Simplify right side
    202,098.54x = 59,789,081,189.28
  5. Step 5: Solve for x
    x = 59,789,081,189.28/202,098.54
  6. Step 6: Final answer
    x = 295,841.23

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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.