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Finding the Fourth Proportional to 150,295.31, 225,422.11 and 37,968.62

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Solution

The fourth proportional to 150,295.31, 225,422.11 and 37,968.62 is: 56,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,295.31 : 225,422.11 = 37,968.62 : x
  2. Step 2: Convert to fraction form
    150,295.31/225,422.11 = 37,968.62/x
  3. Step 3: Cross multiply
    150,295.31x = 225,422.11 × 37,968.62
  4. Step 4: Simplify right side
    150,295.31x = 8,558,965,140.96
  5. Step 5: Solve for x
    x = 8,558,965,140.96/150,295.31
  6. Step 6: Final answer
    x = 56,947.65

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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.