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Finding the Fourth Proportional to 150,058, 225,089.16 and 39,250

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Solution

The fourth proportional to 150,058, 225,089.16 and 39,250 is: 58,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,058 : 225,089.16 = 39,250 : x
  2. Step 2: Convert to fraction form
    150,058/225,089.16 = 39,250/x
  3. Step 3: Cross multiply
    150,058x = 225,089.16 × 39,250
  4. Step 4: Simplify right side
    150,058x = 8,834,749,530
  5. Step 5: Solve for x
    x = 8,834,749,530/150,058
  6. Step 6: Final answer
    x = 58,875.56

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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.