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Finding the Fourth Proportional to 132,223.49, 198,413.96 and 47,990.17

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Solution

The fourth proportional to 132,223.49, 198,413.96 and 47,990.17 is: 72,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,223.49 : 198,413.96 = 47,990.17 : x
  2. Step 2: Convert to fraction form
    132,223.49/198,413.96 = 47,990.17/x
  3. Step 3: Cross multiply
    132,223.49x = 198,413.96 × 47,990.17
  4. Step 4: Simplify right side
    132,223.49x = 9,521,919,678.84
  5. Step 5: Solve for x
    x = 9,521,919,678.84/132,223.49
  6. Step 6: Final answer
    x = 72,013.83

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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.