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Finding the Fourth Proportional to 109,413.20, 164,119.80 and 35,541.20

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Solution

The fourth proportional to 109,413.20, 164,119.80 and 35,541.20 is: 53,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,413.20 : 164,119.80 = 35,541.20 : x
  2. Step 2: Convert to fraction form
    109,413.20/164,119.80 = 35,541.20/x
  3. Step 3: Cross multiply
    109,413.20x = 164,119.80 × 35,541.20
  4. Step 4: Simplify right side
    109,413.20x = 5,833,013,815.16
  5. Step 5: Solve for x
    x = 5,833,013,815.16/109,413.20
  6. Step 6: Final answer
    x = 53,311.79

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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.