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Finding the Fourth Proportional to 83,161.96, 114,723.54 and 60,465.80

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Solution

The fourth proportional to 83,161.96, 114,723.54 and 60,465.80 is: 83,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.96 : 114,723.54 = 60,465.80 : x
  2. Step 2: Convert to fraction form
    83,161.96/114,723.54 = 60,465.80/x
  3. Step 3: Cross multiply
    83,161.96x = 114,723.54 × 60,465.80
  4. Step 4: Simplify right side
    83,161.96x = 6,936,850,624.93
  5. Step 5: Solve for x
    x = 6,936,850,624.93/83,161.96
  6. Step 6: Final answer
    x = 83,413.75

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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.