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Finding the Fourth Proportional to 271,011.17, 406,451.41 and 113,154.05

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Solution

The fourth proportional to 271,011.17, 406,451.41 and 113,154.05 is: 169,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,011.17 : 406,451.41 = 113,154.05 : x
  2. Step 2: Convert to fraction form
    271,011.17/406,451.41 = 113,154.05/x
  3. Step 3: Cross multiply
    271,011.17x = 406,451.41 × 113,154.05
  4. Step 4: Simplify right side
    271,011.17x = 45,991,623,169.71
  5. Step 5: Solve for x
    x = 45,991,623,169.71/271,011.17
  6. Step 6: Final answer
    x = 169,703.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.