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Finding the Fourth Proportional to 196,690.50, 271,433.16 and 107,266.50

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Solution

The fourth proportional to 196,690.50, 271,433.16 and 107,266.50 is: 148,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,690.50 : 271,433.16 = 107,266.50 : x
  2. Step 2: Convert to fraction form
    196,690.50/271,433.16 = 107,266.50/x
  3. Step 3: Cross multiply
    196,690.50x = 271,433.16 × 107,266.50
  4. Step 4: Simplify right side
    196,690.50x = 29,115,685,057.14
  5. Step 5: Solve for x
    x = 29,115,685,057.14/196,690.50
  6. Step 6: Final answer
    x = 148,027.92

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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.