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Finding the Fourth Proportional to 234,184.74, 351,333.21 and 76,413.54

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Solution

The fourth proportional to 234,184.74, 351,333.21 and 76,413.54 is: 114,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,184.74 : 351,333.21 = 76,413.54 : x
  2. Step 2: Convert to fraction form
    234,184.74/351,333.21 = 76,413.54/x
  3. Step 3: Cross multiply
    234,184.74x = 351,333.21 × 76,413.54
  4. Step 4: Simplify right side
    234,184.74x = 26,846,614,295.66
  5. Step 5: Solve for x
    x = 26,846,614,295.66/234,184.74
  6. Step 6: Final answer
    x = 114,638.62

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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.