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Finding the Fourth Proportional to 117,206.96, 175,815.29 and 34,100.96

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Solution

The fourth proportional to 117,206.96, 175,815.29 and 34,100.96 is: 51,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,206.96 : 175,815.29 = 34,100.96 : x
  2. Step 2: Convert to fraction form
    117,206.96/175,815.29 = 34,100.96/x
  3. Step 3: Cross multiply
    117,206.96x = 175,815.29 × 34,100.96
  4. Step 4: Simplify right side
    117,206.96x = 5,995,469,122.10
  5. Step 5: Solve for x
    x = 5,995,469,122.10/117,206.96
  6. Step 6: Final answer
    x = 51,152.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.