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Finding the Fourth Proportional to 106,504.83, 146,983.83 and 61,197.48

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Solution

The fourth proportional to 106,504.83, 146,983.83 and 61,197.48 is: 84,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,504.83 : 146,983.83 = 61,197.48 : x
  2. Step 2: Convert to fraction form
    106,504.83/146,983.83 = 61,197.48/x
  3. Step 3: Cross multiply
    106,504.83x = 146,983.83 × 61,197.48
  4. Step 4: Simplify right side
    106,504.83x = 8,995,039,996.75
  5. Step 5: Solve for x
    x = 8,995,039,996.75/106,504.83
  6. Step 6: Final answer
    x = 84,456.64

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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.