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Finding the Fourth Proportional to 114,115.14, 171,106.16 and 47,475.41

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Solution

The fourth proportional to 114,115.14, 171,106.16 and 47,475.41 is: 71,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.14 : 171,106.16 = 47,475.41 : x
  2. Step 2: Convert to fraction form
    114,115.14/171,106.16 = 47,475.41/x
  3. Step 3: Cross multiply
    114,115.14x = 171,106.16 × 47,475.41
  4. Step 4: Simplify right side
    114,115.14x = 8,123,334,006.62
  5. Step 5: Solve for x
    x = 8,123,334,006.62/114,115.14
  6. Step 6: Final answer
    x = 71,185.42

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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.