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Finding the Fourth Proportional to 117,952.97, 176,771.82 and 43,002.71

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Solution

The fourth proportional to 117,952.97, 176,771.82 and 43,002.71 is: 64,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,952.97 : 176,771.82 = 43,002.71 : x
  2. Step 2: Convert to fraction form
    117,952.97/176,771.82 = 43,002.71/x
  3. Step 3: Cross multiply
    117,952.97x = 176,771.82 × 43,002.71
  4. Step 4: Simplify right side
    117,952.97x = 7,601,667,311.63
  5. Step 5: Solve for x
    x = 7,601,667,311.63/117,952.97
  6. Step 6: Final answer
    x = 64,446.60

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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.