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Finding the Fourth Proportional to 262,315.41, 393,866.78 and 150,122.31

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Solution

The fourth proportional to 262,315.41, 393,866.78 and 150,122.31 is: 225,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,315.41 : 393,866.78 = 150,122.31 : x
  2. Step 2: Convert to fraction form
    262,315.41/393,866.78 = 150,122.31/x
  3. Step 3: Cross multiply
    262,315.41x = 393,866.78 × 150,122.31
  4. Step 4: Simplify right side
    262,315.41x = 59,128,190,095.25
  5. Step 5: Solve for x
    x = 59,128,190,095.25/262,315.41
  6. Step 6: Final answer
    x = 225,408.76

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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.