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Finding the Fourth Proportional to 117,221.63, 175,770.47 and 53,986.55

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Solution

The fourth proportional to 117,221.63, 175,770.47 and 53,986.55 is: 80,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,221.63 : 175,770.47 = 53,986.55 : x
  2. Step 2: Convert to fraction form
    117,221.63/175,770.47 = 53,986.55/x
  3. Step 3: Cross multiply
    117,221.63x = 175,770.47 × 53,986.55
  4. Step 4: Simplify right side
    117,221.63x = 9,489,240,523.29
  5. Step 5: Solve for x
    x = 9,489,240,523.29/117,221.63
  6. Step 6: Final answer
    x = 80,951.28

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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.