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Finding the Fourth Proportional to 271,449.30, 407,108.32 and 113,795.76

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Solution

The fourth proportional to 271,449.30, 407,108.32 and 113,795.76 is: 170,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,449.30 : 407,108.32 = 113,795.76 : x
  2. Step 2: Convert to fraction form
    271,449.30/407,108.32 = 113,795.76/x
  3. Step 3: Cross multiply
    271,449.30x = 407,108.32 × 113,795.76
  4. Step 4: Simplify right side
    271,449.30x = 46,327,200,676.72
  5. Step 5: Solve for x
    x = 46,327,200,676.72/271,449.30
  6. Step 6: Final answer
    x = 170,666.13

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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.