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Finding the Fourth Proportional to 196,293.29, 270,884.79 and 106,869.29

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Solution

The fourth proportional to 196,293.29, 270,884.79 and 106,869.29 is: 147,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,293.29 : 270,884.79 = 106,869.29 : x
  2. Step 2: Convert to fraction form
    196,293.29/270,884.79 = 106,869.29/x
  3. Step 3: Cross multiply
    196,293.29x = 270,884.79 × 106,869.29
  4. Step 4: Simplify right side
    196,293.29x = 28,949,265,179.10
  5. Step 5: Solve for x
    x = 28,949,265,179.10/196,293.29
  6. Step 6: Final answer
    x = 147,479.65

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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.