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Finding the Fourth Proportional to 117,858.61, 176,581.63 and 80,296.75

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Solution

The fourth proportional to 117,858.61, 176,581.63 and 80,296.75 is: 120,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,858.61 : 176,581.63 = 80,296.75 : x
  2. Step 2: Convert to fraction form
    117,858.61/176,581.63 = 80,296.75/x
  3. Step 3: Cross multiply
    117,858.61x = 176,581.63 × 80,296.75
  4. Step 4: Simplify right side
    117,858.61x = 14,178,930,998.70
  5. Step 5: Solve for x
    x = 14,178,930,998.70/117,858.61
  6. Step 6: Final answer
    x = 120,304.58

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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.