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Finding the Fourth Proportional to 114,614.14, 171,958.57 and 57,658.66

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Solution

The fourth proportional to 114,614.14, 171,958.57 and 57,658.66 is: 86,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,614.14 : 171,958.57 = 57,658.66 : x
  2. Step 2: Convert to fraction form
    114,614.14/171,958.57 = 57,658.66/x
  3. Step 3: Cross multiply
    114,614.14x = 171,958.57 × 57,658.66
  4. Step 4: Simplify right side
    114,614.14x = 9,914,900,721.72
  5. Step 5: Solve for x
    x = 9,914,900,721.72/114,614.14
  6. Step 6: Final answer
    x = 86,506.78

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1.5x scale

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.