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Finding the Fourth Proportional to 322,059.24, 483,105.77 and 97,413.94

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Solution

The fourth proportional to 322,059.24, 483,105.77 and 97,413.94 is: 146,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,059.24 : 483,105.77 = 97,413.94 : x
  2. Step 2: Convert to fraction form
    322,059.24/483,105.77 = 97,413.94/x
  3. Step 3: Cross multiply
    322,059.24x = 483,105.77 × 97,413.94
  4. Step 4: Simplify right side
    322,059.24x = 47,061,236,974.55
  5. Step 5: Solve for x
    x = 47,061,236,974.55/322,059.24
  6. Step 6: Final answer
    x = 146,126.03

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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.