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Finding the Fourth Proportional to 195,413.68, 293,119.76 and 83,076.40

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Solution

The fourth proportional to 195,413.68, 293,119.76 and 83,076.40 is: 124,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,413.68 : 293,119.76 = 83,076.40 : x
  2. Step 2: Convert to fraction form
    195,413.68/293,119.76 = 83,076.40/x
  3. Step 3: Cross multiply
    195,413.68x = 293,119.76 × 83,076.40
  4. Step 4: Simplify right side
    195,413.68x = 24,351,334,429.66
  5. Step 5: Solve for x
    x = 24,351,334,429.66/195,413.68
  6. Step 6: Final answer
    x = 124,614.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.