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Finding the Fourth Proportional to 262,477.22, 362,215.41 and 149,299.70

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Solution

The fourth proportional to 262,477.22, 362,215.41 and 149,299.70 is: 206,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,477.22 : 362,215.41 = 149,299.70 : x
  2. Step 2: Convert to fraction form
    262,477.22/362,215.41 = 149,299.70/x
  3. Step 3: Cross multiply
    262,477.22x = 362,215.41 × 149,299.70
  4. Step 4: Simplify right side
    262,477.22x = 54,078,652,048.38
  5. Step 5: Solve for x
    x = 54,078,652,048.38/262,477.22
  6. Step 6: Final answer
    x = 206,031.79

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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.