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Finding the Fourth Proportional to 265,497.57, 366,382.38 and 144,640.32

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Solution

The fourth proportional to 265,497.57, 366,382.38 and 144,640.32 is: 199,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,497.57 : 366,382.38 = 144,640.32 : x
  2. Step 2: Convert to fraction form
    265,497.57/366,382.38 = 144,640.32/x
  3. Step 3: Cross multiply
    265,497.57x = 366,382.38 × 144,640.32
  4. Step 4: Simplify right side
    265,497.57x = 52,993,664,685.56
  5. Step 5: Solve for x
    x = 52,993,664,685.56/265,497.57
  6. Step 6: Final answer
    x = 199,601.32

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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.