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Finding the Fourth Proportional to 101,413.80, 152,163.90 and 48,796.20

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Solution

The fourth proportional to 101,413.80, 152,163.90 and 48,796.20 is: 73,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.80 : 152,163.90 = 48,796.20 : x
  2. Step 2: Convert to fraction form
    101,413.80/152,163.90 = 48,796.20/x
  3. Step 3: Cross multiply
    101,413.80x = 152,163.90 × 48,796.20
  4. Step 4: Simplify right side
    101,413.80x = 7,425,020,097.18
  5. Step 5: Solve for x
    x = 7,425,020,097.18/101,413.80
  6. Step 6: Final answer
    x = 73,215.09

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Why These Related Problems?

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