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Finding the Fourth Proportional to 196,264.44, 270,880.38 and 115,687.32

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Solution

The fourth proportional to 196,264.44, 270,880.38 and 115,687.32 is: 159,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,264.44 : 270,880.38 = 115,687.32 : x
  2. Step 2: Convert to fraction form
    196,264.44/270,880.38 = 115,687.32/x
  3. Step 3: Cross multiply
    196,264.44x = 270,880.38 × 115,687.32
  4. Step 4: Simplify right side
    196,264.44x = 31,337,425,202.78
  5. Step 5: Solve for x
    x = 31,337,425,202.78/196,264.44
  6. Step 6: Final answer
    x = 159,669.40

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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.