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Finding the Fourth Proportional to 150,703.14, 225,894.27 and 71,650.26

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Solution

The fourth proportional to 150,703.14, 225,894.27 and 71,650.26 is: 107,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,703.14 : 225,894.27 = 71,650.26 : x
  2. Step 2: Convert to fraction form
    150,703.14/225,894.27 = 71,650.26/x
  3. Step 3: Cross multiply
    150,703.14x = 225,894.27 × 71,650.26
  4. Step 4: Simplify right side
    150,703.14x = 16,185,383,178.01
  5. Step 5: Solve for x
    x = 16,185,383,178.01/150,703.14
  6. Step 6: Final answer
    x = 107,399.11

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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.