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Finding the Fourth Proportional to 202,468.60, 303,789.30 and 97,233.40

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Solution

The fourth proportional to 202,468.60, 303,789.30 and 97,233.40 is: 145,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468.60 : 303,789.30 = 97,233.40 : x
  2. Step 2: Convert to fraction form
    202,468.60/303,789.30 = 97,233.40/x
  3. Step 3: Cross multiply
    202,468.60x = 303,789.30 × 97,233.40
  4. Step 4: Simplify right side
    202,468.60x = 29,538,466,522.62
  5. Step 5: Solve for x
    x = 29,538,466,522.62/202,468.60
  6. Step 6: Final answer
    x = 145,891.59

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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.