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Finding the Fourth Proportional to 150,444, 225,679.68 and 39,636

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Solution

The fourth proportional to 150,444, 225,679.68 and 39,636 is: 59,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,444 : 225,679.68 = 39,636 : x
  2. Step 2: Convert to fraction form
    150,444/225,679.68 = 39,636/x
  3. Step 3: Cross multiply
    150,444x = 225,679.68 × 39,636
  4. Step 4: Simplify right side
    150,444x = 8,945,039,796.48
  5. Step 5: Solve for x
    x = 8,945,039,796.48/150,444
  6. Step 6: Final answer
    x = 59,457.60

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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.