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Finding the Fourth Proportional to 114,116.14, 171,107.65 and 47,476.41

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Solution

The fourth proportional to 114,116.14, 171,107.65 and 47,476.41 is: 71,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116.14 : 171,107.65 = 47,476.41 : x
  2. Step 2: Convert to fraction form
    114,116.14/171,107.65 = 47,476.41/x
  3. Step 3: Cross multiply
    114,116.14x = 171,107.65 × 47,476.41
  4. Step 4: Simplify right side
    114,116.14x = 8,123,576,945.54
  5. Step 5: Solve for x
    x = 8,123,576,945.54/114,116.14
  6. Step 6: Final answer
    x = 71,186.92

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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.