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Finding the Fourth Proportional to 150,649.08, 225,974.96 and 38,329.40

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Solution

The fourth proportional to 150,649.08, 225,974.96 and 38,329.40 is: 57,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649.08 : 225,974.96 = 38,329.40 : x
  2. Step 2: Convert to fraction form
    150,649.08/225,974.96 = 38,329.40/x
  3. Step 3: Cross multiply
    150,649.08x = 225,974.96 × 38,329.40
  4. Step 4: Simplify right side
    150,649.08x = 8,661,484,631.82
  5. Step 5: Solve for x
    x = 8,661,484,631.82/150,649.08
  6. Step 6: Final answer
    x = 57,494.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.