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Finding the Fourth Proportional to 164,448.75, 246,712.13 and 53,640.75

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Solution

The fourth proportional to 164,448.75, 246,712.13 and 53,640.75 is: 80,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448.75 : 246,712.13 = 53,640.75 : x
  2. Step 2: Convert to fraction form
    164,448.75/246,712.13 = 53,640.75/x
  3. Step 3: Cross multiply
    164,448.75x = 246,712.13 × 53,640.75
  4. Step 4: Simplify right side
    164,448.75x = 13,233,823,419.09
  5. Step 5: Solve for x
    x = 13,233,823,419.09/164,448.75
  6. Step 6: Final answer
    x = 80,473.85

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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.