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Finding the Fourth Proportional to 198,035.47, 297,049.96 and 48,276.19

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Solution

The fourth proportional to 198,035.47, 297,049.96 and 48,276.19 is: 72,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,035.47 : 297,049.96 = 48,276.19 : x
  2. Step 2: Convert to fraction form
    198,035.47/297,049.96 = 48,276.19/x
  3. Step 3: Cross multiply
    198,035.47x = 297,049.96 × 48,276.19
  4. Step 4: Simplify right side
    198,035.47x = 14,340,440,308.45
  5. Step 5: Solve for x
    x = 14,340,440,308.45/198,035.47
  6. Step 6: Final answer
    x = 72,413.49

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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.