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Finding the Fourth Proportional to 265,845, 366,866.12 and 146,613

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Solution

The fourth proportional to 265,845, 366,866.12 and 146,613 is: 202,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,845 : 366,866.12 = 146,613 : x
  2. Step 2: Convert to fraction form
    265,845/366,866.12 = 146,613/x
  3. Step 3: Cross multiply
    265,845x = 366,866.12 × 146,613
  4. Step 4: Simplify right side
    265,845x = 53,787,342,451.56
  5. Step 5: Solve for x
    x = 53,787,342,451.56/265,845
  6. Step 6: Final answer
    x = 202,325.95

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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.