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Finding the Fourth Proportional to 262,753.90, 362,600.73 and 149,576.50

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Solution

The fourth proportional to 262,753.90, 362,600.73 and 149,576.50 is: 206,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,753.90 : 362,600.73 = 149,576.50 : x
  2. Step 2: Convert to fraction form
    262,753.90/362,600.73 = 149,576.50/x
  3. Step 3: Cross multiply
    262,753.90x = 362,600.73 × 149,576.50
  4. Step 4: Simplify right side
    262,753.90x = 54,236,548,090.85
  5. Step 5: Solve for x
    x = 54,236,548,090.85/262,753.90
  6. Step 6: Final answer
    x = 206,415.77

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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.