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Finding the Fourth Proportional to 101,285.40, 151,928.10 and 27,413.40

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Solution

The fourth proportional to 101,285.40, 151,928.10 and 27,413.40 is: 41,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,285.40 : 151,928.10 = 27,413.40 : x
  2. Step 2: Convert to fraction form
    101,285.40/151,928.10 = 27,413.40/x
  3. Step 3: Cross multiply
    101,285.40x = 151,928.10 × 27,413.40
  4. Step 4: Simplify right side
    101,285.40x = 4,164,865,776.54
  5. Step 5: Solve for x
    x = 4,164,865,776.54/101,285.40
  6. Step 6: Final answer
    x = 41,120.10

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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.