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Finding the Fourth Proportional to 262,807.20, 362,711.52 and 149,640.48

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Solution

The fourth proportional to 262,807.20, 362,711.52 and 149,640.48 is: 206,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807.20 : 362,711.52 = 149,640.48 : x
  2. Step 2: Convert to fraction form
    262,807.20/362,711.52 = 149,640.48/x
  3. Step 3: Cross multiply
    262,807.20x = 362,711.52 × 149,640.48
  4. Step 4: Simplify right side
    262,807.20x = 54,276,325,954.33
  5. Step 5: Solve for x
    x = 54,276,325,954.33/262,807.20
  6. Step 6: Final answer
    x = 206,525.26

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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.