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Finding the Fourth Proportional to 271,764.92, 407,231.76 and 113,907.32

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Solution

The fourth proportional to 271,764.92, 407,231.76 and 113,907.32 is: 170,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.92 : 407,231.76 = 113,907.32 : x
  2. Step 2: Convert to fraction form
    271,764.92/407,231.76 = 113,907.32/x
  3. Step 3: Cross multiply
    271,764.92x = 407,231.76 × 113,907.32
  4. Step 4: Simplify right side
    271,764.92x = 46,386,678,400.48
  5. Step 5: Solve for x
    x = 46,386,678,400.48/271,764.92
  6. Step 6: Final answer
    x = 170,686.78

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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.