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Finding the Fourth Proportional to 196,435, 271,080.30 and 107,011

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Solution

The fourth proportional to 196,435, 271,080.30 and 107,011 is: 147,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,435 : 271,080.30 = 107,011 : x
  2. Step 2: Convert to fraction form
    196,435/271,080.30 = 107,011/x
  3. Step 3: Cross multiply
    196,435x = 271,080.30 × 107,011
  4. Step 4: Simplify right side
    196,435x = 29,008,573,983.30
  5. Step 5: Solve for x
    x = 29,008,573,983.30/196,435
  6. Step 6: Final answer
    x = 147,675.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.