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Finding the Fourth Proportional to 198,513, 273,944.52 and 107,870.40

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Solution

The fourth proportional to 198,513, 273,944.52 and 107,870.40 is: 148,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,513 : 273,944.52 = 107,870.40 : x
  2. Step 2: Convert to fraction form
    198,513/273,944.52 = 107,870.40/x
  3. Step 3: Cross multiply
    198,513x = 273,944.52 × 107,870.40
  4. Step 4: Simplify right side
    198,513x = 29,550,504,950.21
  5. Step 5: Solve for x
    x = 29,550,504,950.21/198,513
  6. Step 6: Final answer
    x = 148,859.29

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