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Finding the Fourth Proportional to 271,614.70, 407,470.65 and 113,859.10

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Solution

The fourth proportional to 271,614.70, 407,470.65 and 113,859.10 is: 170,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,614.70 : 407,470.65 = 113,859.10 : x
  2. Step 2: Convert to fraction form
    271,614.70/407,470.65 = 113,859.10/x
  3. Step 3: Cross multiply
    271,614.70x = 407,470.65 × 113,859.10
  4. Step 4: Simplify right side
    271,614.70x = 46,394,241,485.42
  5. Step 5: Solve for x
    x = 46,394,241,485.42/271,614.70
  6. Step 6: Final answer
    x = 170,809.02

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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.