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Finding the Fourth Proportional to 262,188.81, 361,823.09 and 149,012.37

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Solution

The fourth proportional to 262,188.81, 361,823.09 and 149,012.37 is: 205,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,188.81 : 361,823.09 = 149,012.37 : x
  2. Step 2: Convert to fraction form
    262,188.81/361,823.09 = 149,012.37/x
  3. Step 3: Cross multiply
    262,188.81x = 361,823.09 × 149,012.37
  4. Step 4: Simplify right side
    262,188.81x = 53,916,115,416.56
  5. Step 5: Solve for x
    x = 53,916,115,416.56/262,188.81
  6. Step 6: Final answer
    x = 205,638.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.