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Finding the Fourth Proportional to 265,678.54, 366,640.25 and 144,819.86

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Solution

The fourth proportional to 265,678.54, 366,640.25 and 144,819.86 is: 199,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,678.54 : 366,640.25 = 144,819.86 : x
  2. Step 2: Convert to fraction form
    265,678.54/366,640.25 = 144,819.86/x
  3. Step 3: Cross multiply
    265,678.54x = 366,640.25 × 144,819.86
  4. Step 4: Simplify right side
    265,678.54x = 53,096,787,118.06
  5. Step 5: Solve for x
    x = 53,096,787,118.06/265,678.54
  6. Step 6: Final answer
    x = 199,853.51

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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.