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Finding the Fourth Proportional to 263,050.40, 362,858.64 and 149,852

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Solution

The fourth proportional to 263,050.40, 362,858.64 and 149,852 is: 206,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,050.40 : 362,858.64 = 149,852 : x
  2. Step 2: Convert to fraction form
    263,050.40/362,858.64 = 149,852/x
  3. Step 3: Cross multiply
    263,050.40x = 362,858.64 × 149,852
  4. Step 4: Simplify right side
    263,050.40x = 54,375,092,921.28
  5. Step 5: Solve for x
    x = 54,375,092,921.28/263,050.40
  6. Step 6: Final answer
    x = 206,709.79

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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.