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Finding the Fourth Proportional to 196,489.76, 271,155.88 and 107,065.76

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Solution

The fourth proportional to 196,489.76, 271,155.88 and 107,065.76 is: 147,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,489.76 : 271,155.88 = 107,065.76 : x
  2. Step 2: Convert to fraction form
    196,489.76/271,155.88 = 107,065.76/x
  3. Step 3: Cross multiply
    196,489.76x = 271,155.88 × 107,065.76
  4. Step 4: Simplify right side
    196,489.76x = 29,031,510,370.67
  5. Step 5: Solve for x
    x = 29,031,510,370.67/196,489.76
  6. Step 6: Final answer
    x = 147,750.75

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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.