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Finding the Fourth Proportional to 271,299.52, 374,412 and 150,451.84

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Solution

The fourth proportional to 271,299.52, 374,412 and 150,451.84 is: 207,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,299.52 : 374,412 = 150,451.84 : x
  2. Step 2: Convert to fraction form
    271,299.52/374,412 = 150,451.84/x
  3. Step 3: Cross multiply
    271,299.52x = 374,412 × 150,451.84
  4. Step 4: Simplify right side
    271,299.52x = 56,330,974,318.08
  5. Step 5: Solve for x
    x = 56,330,974,318.08/271,299.52
  6. Step 6: Final answer
    x = 207,633.89

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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.