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Finding the Fourth Proportional to 196,490.76, 271,157.25 and 107,066.76

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Solution

The fourth proportional to 196,490.76, 271,157.25 and 107,066.76 is: 147,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,490.76 : 271,157.25 = 107,066.76 : x
  2. Step 2: Convert to fraction form
    196,490.76/271,157.25 = 107,066.76/x
  3. Step 3: Cross multiply
    196,490.76x = 271,157.25 × 107,066.76
  4. Step 4: Simplify right side
    196,490.76x = 29,031,928,208.01
  5. Step 5: Solve for x
    x = 29,031,928,208.01/196,490.76
  6. Step 6: Final answer
    x = 147,752.13

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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.