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Finding the Fourth Proportional to 262,713, 362,544.36 and 149,535.75

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Solution

The fourth proportional to 262,713, 362,544.36 and 149,535.75 is: 206,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,713 : 362,544.36 = 149,535.75 : x
  2. Step 2: Convert to fraction form
    262,713/362,544.36 = 149,535.75/x
  3. Step 3: Cross multiply
    262,713x = 362,544.36 × 149,535.75
  4. Step 4: Simplify right side
    262,713x = 54,213,342,780.87
  5. Step 5: Solve for x
    x = 54,213,342,780.87/262,713
  6. Step 6: Final answer
    x = 206,359.57

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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.