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Finding the Fourth Proportional to 114,078.62, 171,147.08 and 47,496.62

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Solution

The fourth proportional to 114,078.62, 171,147.08 and 47,496.62 is: 71,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,078.62 : 171,147.08 = 47,496.62 : x
  2. Step 2: Convert to fraction form
    114,078.62/171,147.08 = 47,496.62/x
  3. Step 3: Cross multiply
    114,078.62x = 171,147.08 × 47,496.62
  4. Step 4: Simplify right side
    114,078.62x = 8,128,907,822.87
  5. Step 5: Solve for x
    x = 8,128,907,822.87/114,078.62
  6. Step 6: Final answer
    x = 71,257.07

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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.