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Finding the Fourth Proportional to 198,193.33, 297,335.42 and 85,892.40

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Solution

The fourth proportional to 198,193.33, 297,335.42 and 85,892.40 is: 128,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,193.33 : 297,335.42 = 85,892.40 : x
  2. Step 2: Convert to fraction form
    198,193.33/297,335.42 = 85,892.40/x
  3. Step 3: Cross multiply
    198,193.33x = 297,335.42 × 85,892.40
  4. Step 4: Simplify right side
    198,193.33x = 25,538,853,043.54
  5. Step 5: Solve for x
    x = 25,538,853,043.54/198,193.33
  6. Step 6: Final answer
    x = 128,858.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.