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Finding the Fourth Proportional to 175,216.81, 262,858.06 and 81,722.56

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Solution

The fourth proportional to 175,216.81, 262,858.06 and 81,722.56 is: 122,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216.81 : 262,858.06 = 81,722.56 : x
  2. Step 2: Convert to fraction form
    175,216.81/262,858.06 = 81,722.56/x
  3. Step 3: Cross multiply
    175,216.81x = 262,858.06 × 81,722.56
  4. Step 4: Simplify right side
    175,216.81x = 21,481,433,579.83
  5. Step 5: Solve for x
    x = 21,481,433,579.83/175,216.81
  6. Step 6: Final answer
    x = 122,599.16

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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.