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Finding the Fourth Proportional to 262,729.26, 362,566.78 and 149,552.02

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Solution

The fourth proportional to 262,729.26, 362,566.78 and 149,552.02 is: 206,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,729.26 : 362,566.78 = 149,552.02 : x
  2. Step 2: Convert to fraction form
    262,729.26/362,566.78 = 149,552.02/x
  3. Step 3: Cross multiply
    262,729.26x = 362,566.78 × 149,552.02
  4. Step 4: Simplify right side
    262,729.26x = 54,222,594,333.90
  5. Step 5: Solve for x
    x = 54,222,594,333.90/262,729.26
  6. Step 6: Final answer
    x = 206,382.02

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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.