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Finding the Fourth Proportional to 132,413.28, 198,557.49 and 48,114

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Solution

The fourth proportional to 132,413.28, 198,557.49 and 48,114 is: 72,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.28 : 198,557.49 = 48,114 : x
  2. Step 2: Convert to fraction form
    132,413.28/198,557.49 = 48,114/x
  3. Step 3: Cross multiply
    132,413.28x = 198,557.49 × 48,114
  4. Step 4: Simplify right side
    132,413.28x = 9,553,395,073.86
  5. Step 5: Solve for x
    x = 9,553,395,073.86/132,413.28
  6. Step 6: Final answer
    x = 72,148.32

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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.