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Finding the Fourth Proportional to 146,227.50, 201,794.22 and 79,159.50

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Solution

The fourth proportional to 146,227.50, 201,794.22 and 79,159.50 is: 109,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,227.50 : 201,794.22 = 79,159.50 : x
  2. Step 2: Convert to fraction form
    146,227.50/201,794.22 = 79,159.50/x
  3. Step 3: Cross multiply
    146,227.50x = 201,794.22 × 79,159.50
  4. Step 4: Simplify right side
    146,227.50x = 15,973,929,558.09
  5. Step 5: Solve for x
    x = 15,973,929,558.09/146,227.50
  6. Step 6: Final answer
    x = 109,240.26

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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.