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Finding the Fourth Proportional to 196,653.78, 271,382.16 and 107,229.78

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Solution

The fourth proportional to 196,653.78, 271,382.16 and 107,229.78 is: 147,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,653.78 : 271,382.16 = 107,229.78 : x
  2. Step 2: Convert to fraction form
    196,653.78/271,382.16 = 107,229.78/x
  3. Step 3: Cross multiply
    196,653.78x = 271,382.16 × 107,229.78
  4. Step 4: Simplify right side
    196,653.78x = 29,100,249,312.72
  5. Step 5: Solve for x
    x = 29,100,249,312.72/196,653.78
  6. Step 6: Final answer
    x = 147,977.07

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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.