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Finding the Fourth Proportional to 160,734.17, 241,077.57 and 42,413.83

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Solution

The fourth proportional to 160,734.17, 241,077.57 and 42,413.83 is: 63,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,734.17 : 241,077.57 = 42,413.83 : x
  2. Step 2: Convert to fraction form
    160,734.17/241,077.57 = 42,413.83/x
  3. Step 3: Cross multiply
    160,734.17x = 241,077.57 × 42,413.83
  4. Step 4: Simplify right side
    160,734.17x = 10,225,022,309.05
  5. Step 5: Solve for x
    x = 10,225,022,309.05/160,734.17
  6. Step 6: Final answer
    x = 63,614.49

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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.