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Finding the Fourth Proportional to 271,880.74, 407,596.56 and 119,969.65

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Solution

The fourth proportional to 271,880.74, 407,596.56 and 119,969.65 is: 179,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,880.74 : 407,596.56 = 119,969.65 : x
  2. Step 2: Convert to fraction form
    271,880.74/407,596.56 = 119,969.65/x
  3. Step 3: Cross multiply
    271,880.74x = 407,596.56 × 119,969.65
  4. Step 4: Simplify right side
    271,880.74x = 48,899,216,644.40
  5. Step 5: Solve for x
    x = 48,899,216,644.40/271,880.74
  6. Step 6: Final answer
    x = 179,855.39

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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.