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Finding the Fourth Proportional to 189,732.50, 261,834.60 and 103,696.80

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Solution

The fourth proportional to 189,732.50, 261,834.60 and 103,696.80 is: 143,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732.50 : 261,834.60 = 103,696.80 : x
  2. Step 2: Convert to fraction form
    189,732.50/261,834.60 = 103,696.80/x
  3. Step 3: Cross multiply
    189,732.50x = 261,834.60 × 103,696.80
  4. Step 4: Simplify right side
    189,732.50x = 27,151,410,149.28
  5. Step 5: Solve for x
    x = 27,151,410,149.28/189,732.50
  6. Step 6: Final answer
    x = 143,103.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.