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Finding the Fourth Proportional to 263,342.50, 363,413.37 and 144,110.50

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Solution

The fourth proportional to 263,342.50, 363,413.37 and 144,110.50 is: 198,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,342.50 : 363,413.37 = 144,110.50 : x
  2. Step 2: Convert to fraction form
    263,342.50/363,413.37 = 144,110.50/x
  3. Step 3: Cross multiply
    263,342.50x = 363,413.37 × 144,110.50
  4. Step 4: Simplify right side
    263,342.50x = 52,371,682,457.39
  5. Step 5: Solve for x
    x = 52,371,682,457.39/263,342.50
  6. Step 6: Final answer
    x = 198,872.88

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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.