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Finding the Fourth Proportional to 196,645.50, 271,371.06 and 107,221.50

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Solution

The fourth proportional to 196,645.50, 271,371.06 and 107,221.50 is: 147,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,645.50 : 271,371.06 = 107,221.50 : x
  2. Step 2: Convert to fraction form
    196,645.50/271,371.06 = 107,221.50/x
  3. Step 3: Cross multiply
    196,645.50x = 271,371.06 × 107,221.50
  4. Step 4: Simplify right side
    196,645.50x = 29,096,812,109.79
  5. Step 5: Solve for x
    x = 29,096,812,109.79/196,645.50
  6. Step 6: Final answer
    x = 147,965.82

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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.