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Finding the Fourth Proportional to 196,486.94, 271,184.80 and 115,934.42

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Solution

The fourth proportional to 196,486.94, 271,184.80 and 115,934.42 is: 160,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,486.94 : 271,184.80 = 115,934.42 : x
  2. Step 2: Convert to fraction form
    196,486.94/271,184.80 = 115,934.42/x
  3. Step 3: Cross multiply
    196,486.94x = 271,184.80 × 115,934.42
  4. Step 4: Simplify right side
    196,486.94x = 31,439,652,500.82
  5. Step 5: Solve for x
    x = 31,439,652,500.82/196,486.94
  6. Step 6: Final answer
    x = 160,008.87

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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.