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Finding the Fourth Proportional to 198,205.66, 273,524.52 and 107,561.60

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Solution

The fourth proportional to 198,205.66, 273,524.52 and 107,561.60 is: 148,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,205.66 : 273,524.52 = 107,561.60 : x
  2. Step 2: Convert to fraction form
    198,205.66/273,524.52 = 107,561.60/x
  3. Step 3: Cross multiply
    198,205.66x = 273,524.52 × 107,561.60
  4. Step 4: Simplify right side
    198,205.66x = 29,420,733,642.81
  5. Step 5: Solve for x
    x = 29,420,733,642.81/198,205.66
  6. Step 6: Final answer
    x = 148,435.39

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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.