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Finding the Fourth Proportional to 361,650.48, 542,414.16 and 95,413.56

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Solution

The fourth proportional to 361,650.48, 542,414.16 and 95,413.56 is: 143,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,650.48 : 542,414.16 = 95,413.56 : x
  2. Step 2: Convert to fraction form
    361,650.48/542,414.16 = 95,413.56/x
  3. Step 3: Cross multiply
    361,650.48x = 542,414.16 × 95,413.56
  4. Step 4: Simplify right side
    361,650.48x = 51,753,666,000.01
  5. Step 5: Solve for x
    x = 51,753,666,000.01/361,650.48
  6. Step 6: Final answer
    x = 143,104.10

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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.