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Finding the Fourth Proportional to 262,818.64, 362,690.08 and 149,641.44

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Solution

The fourth proportional to 262,818.64, 362,690.08 and 149,641.44 is: 206,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,818.64 : 362,690.08 = 149,641.44 : x
  2. Step 2: Convert to fraction form
    262,818.64/362,690.08 = 149,641.44/x
  3. Step 3: Cross multiply
    262,818.64x = 362,690.08 × 149,641.44
  4. Step 4: Simplify right side
    262,818.64x = 54,273,465,844.92
  5. Step 5: Solve for x
    x = 54,273,465,844.92/262,818.64
  6. Step 6: Final answer
    x = 206,505.39

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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.