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Finding the Fourth Proportional to 114,221.72, 171,205.14 and 47,639.72

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Solution

The fourth proportional to 114,221.72, 171,205.14 and 47,639.72 is: 71,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,221.72 : 171,205.14 = 47,639.72 : x
  2. Step 2: Convert to fraction form
    114,221.72/171,205.14 = 47,639.72/x
  3. Step 3: Cross multiply
    114,221.72x = 171,205.14 × 47,639.72
  4. Step 4: Simplify right side
    114,221.72x = 8,156,164,932.16
  5. Step 5: Solve for x
    x = 8,156,164,932.16/114,221.72
  6. Step 6: Final answer
    x = 71,406.43

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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.