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Finding the Fourth Proportional to 271,715.72, 407,442.56 and 113,901.80

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Solution

The fourth proportional to 271,715.72, 407,442.56 and 113,901.80 is: 170,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,715.72 : 407,442.56 = 113,901.80 : x
  2. Step 2: Convert to fraction form
    271,715.72/407,442.56 = 113,901.80/x
  3. Step 3: Cross multiply
    271,715.72x = 407,442.56 × 113,901.80
  4. Step 4: Simplify right side
    271,715.72x = 46,408,438,373.89
  5. Step 5: Solve for x
    x = 46,408,438,373.89/271,715.72
  6. Step 6: Final answer
    x = 170,797.77

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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.