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Finding the Fourth Proportional to 262,856.28, 362,741.31 and 149,679.03

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Solution

The fourth proportional to 262,856.28, 362,741.31 and 149,679.03 is: 206,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,856.28 : 362,741.31 = 149,679.03 : x
  2. Step 2: Convert to fraction form
    262,856.28/362,741.31 = 149,679.03/x
  3. Step 3: Cross multiply
    262,856.28x = 362,741.31 × 149,679.03
  4. Step 4: Simplify right side
    262,856.28x = 54,294,767,421.73
  5. Step 5: Solve for x
    x = 54,294,767,421.73/262,856.28
  6. Step 6: Final answer
    x = 206,556.86

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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.