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Finding the Fourth Proportional to 198,194.30, 297,290.34 and 48,435.38

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Solution

The fourth proportional to 198,194.30, 297,290.34 and 48,435.38 is: 72,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,194.30 : 297,290.34 = 48,435.38 : x
  2. Step 2: Convert to fraction form
    198,194.30/297,290.34 = 48,435.38/x
  3. Step 3: Cross multiply
    198,194.30x = 297,290.34 × 48,435.38
  4. Step 4: Simplify right side
    198,194.30x = 14,399,370,588.23
  5. Step 5: Solve for x
    x = 14,399,370,588.23/198,194.30
  6. Step 6: Final answer
    x = 72,652.80

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