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Finding the Fourth Proportional to 198,080.48, 273,348.60 and 107,435

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Solution

The fourth proportional to 198,080.48, 273,348.60 and 107,435 is: 148,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,080.48 : 273,348.60 = 107,435 : x
  2. Step 2: Convert to fraction form
    198,080.48/273,348.60 = 107,435/x
  3. Step 3: Cross multiply
    198,080.48x = 273,348.60 × 107,435
  4. Step 4: Simplify right side
    198,080.48x = 29,367,206,841.00
  5. Step 5: Solve for x
    x = 29,367,206,841.00/198,080.48
  6. Step 6: Final answer
    x = 148,258.96

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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.