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Finding the Fourth Proportional to 271,879.74, 407,595.06 and 119,968.65

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Solution

The fourth proportional to 271,879.74, 407,595.06 and 119,968.65 is: 179,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,879.74 : 407,595.06 = 119,968.65 : x
  2. Step 2: Convert to fraction form
    271,879.74/407,595.06 = 119,968.65/x
  3. Step 3: Cross multiply
    271,879.74x = 407,595.06 × 119,968.65
  4. Step 4: Simplify right side
    271,879.74x = 48,898,629,094.87
  5. Step 5: Solve for x
    x = 48,898,629,094.87/271,879.74
  6. Step 6: Final answer
    x = 179,853.89

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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.