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Finding the Fourth Proportional to 114,117.14, 171,109.15 and 47,477.41

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Solution

The fourth proportional to 114,117.14, 171,109.15 and 47,477.41 is: 71,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,117.14 : 171,109.15 = 47,477.41 : x
  2. Step 2: Convert to fraction form
    114,117.14/171,109.15 = 47,477.41/x
  3. Step 3: Cross multiply
    114,117.14x = 171,109.15 × 47,477.41
  4. Step 4: Simplify right side
    114,117.14x = 8,123,819,269.30
  5. Step 5: Solve for x
    x = 8,123,819,269.30/114,117.14
  6. Step 6: Final answer
    x = 71,188.42

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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.