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Finding the Fourth Proportional to 175,216.32, 262,857.32 and 81,722.07

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Solution

The fourth proportional to 175,216.32, 262,857.32 and 81,722.07 is: 122,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216.32 : 262,857.32 = 81,722.07 : x
  2. Step 2: Convert to fraction form
    175,216.32/262,857.32 = 81,722.07/x
  3. Step 3: Cross multiply
    175,216.32x = 262,857.32 × 81,722.07
  4. Step 4: Simplify right side
    175,216.32x = 21,481,243,896.44
  5. Step 5: Solve for x
    x = 21,481,243,896.44/175,216.32
  6. Step 6: Final answer
    x = 122,598.42

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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.