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Finding the Fourth Proportional to 164,116.82, 246,076.80 and 75,259.01

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Solution

The fourth proportional to 164,116.82, 246,076.80 and 75,259.01 is: 112,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,116.82 : 246,076.80 = 75,259.01 : x
  2. Step 2: Convert to fraction form
    164,116.82/246,076.80 = 75,259.01/x
  3. Step 3: Cross multiply
    164,116.82x = 246,076.80 × 75,259.01
  4. Step 4: Simplify right side
    164,116.82x = 18,519,496,351.97
  5. Step 5: Solve for x
    x = 18,519,496,351.97/164,116.82
  6. Step 6: Final answer
    x = 112,843.38

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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.