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Finding the Fourth Proportional to 195,544.40, 293,413.80 and 77,219.60

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Solution

The fourth proportional to 195,544.40, 293,413.80 and 77,219.60 is: 115,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,544.40 : 293,413.80 = 77,219.60 : x
  2. Step 2: Convert to fraction form
    195,544.40/293,413.80 = 77,219.60/x
  3. Step 3: Cross multiply
    195,544.40x = 293,413.80 × 77,219.60
  4. Step 4: Simplify right side
    195,544.40x = 22,657,296,270.48
  5. Step 5: Solve for x
    x = 22,657,296,270.48/195,544.40
  6. Step 6: Final answer
    x = 115,867.78

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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.