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Finding the Fourth Proportional to 271,814.40, 407,575.80 and 113,864.40

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Solution

The fourth proportional to 271,814.40, 407,575.80 and 113,864.40 is: 170,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,814.40 : 407,575.80 = 113,864.40 : x
  2. Step 2: Convert to fraction form
    271,814.40/407,575.80 = 113,864.40/x
  3. Step 3: Cross multiply
    271,814.40x = 407,575.80 × 113,864.40
  4. Step 4: Simplify right side
    271,814.40x = 46,408,373,921.52
  5. Step 5: Solve for x
    x = 46,408,373,921.52/271,814.40
  6. Step 6: Final answer
    x = 170,735.52

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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.