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Finding the Fourth Proportional to 198,403.99, 273,798.28 and 107,761.46

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Solution

The fourth proportional to 198,403.99, 273,798.28 and 107,761.46 is: 148,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,403.99 : 273,798.28 = 107,761.46 : x
  2. Step 2: Convert to fraction form
    198,403.99/273,798.28 = 107,761.46/x
  3. Step 3: Cross multiply
    198,403.99x = 273,798.28 × 107,761.46
  4. Step 4: Simplify right side
    198,403.99x = 29,504,902,398.29
  5. Step 5: Solve for x
    x = 29,504,902,398.29/198,403.99
  6. Step 6: Final answer
    x = 148,711.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.