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Finding the Fourth Proportional to 146,098.88, 218,982.22 and 61,806.43

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Solution

The fourth proportional to 146,098.88, 218,982.22 and 61,806.43 is: 92,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,098.88 : 218,982.22 = 61,806.43 : x
  2. Step 2: Convert to fraction form
    146,098.88/218,982.22 = 61,806.43/x
  3. Step 3: Cross multiply
    146,098.88x = 218,982.22 × 61,806.43
  4. Step 4: Simplify right side
    146,098.88x = 13,534,508,942.64
  5. Step 5: Solve for x
    x = 13,534,508,942.64/146,098.88
  6. Step 6: Final answer
    x = 92,639.38

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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.