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Finding the Fourth Proportional to 101,413.20, 152,105.40 and 34,856.40

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Solution

The fourth proportional to 101,413.20, 152,105.40 and 34,856.40 is: 52,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.20 : 152,105.40 = 34,856.40 : x
  2. Step 2: Convert to fraction form
    101,413.20/152,105.40 = 34,856.40/x
  3. Step 3: Cross multiply
    101,413.20x = 152,105.40 × 34,856.40
  4. Step 4: Simplify right side
    101,413.20x = 5,301,846,664.56
  5. Step 5: Solve for x
    x = 5,301,846,664.56/101,413.20
  6. Step 6: Final answer
    x = 52,279.65

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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.