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Finding the Fourth Proportional to 98,413.14, 135,817.65 and 55,969.14

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Solution

The fourth proportional to 98,413.14, 135,817.65 and 55,969.14 is: 77,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.14 : 135,817.65 = 55,969.14 : x
  2. Step 2: Convert to fraction form
    98,413.14/135,817.65 = 55,969.14/x
  3. Step 3: Cross multiply
    98,413.14x = 135,817.65 × 55,969.14
  4. Step 4: Simplify right side
    98,413.14x = 7,601,597,067.32
  5. Step 5: Solve for x
    x = 7,601,597,067.32/98,413.14
  6. Step 6: Final answer
    x = 77,241.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.