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Finding the Fourth Proportional to 188,813.81, 260,532.56 and 108,226.50

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Solution

The fourth proportional to 188,813.81, 260,532.56 and 108,226.50 is: 149,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,813.81 : 260,532.56 = 108,226.50 : x
  2. Step 2: Convert to fraction form
    188,813.81/260,532.56 = 108,226.50/x
  3. Step 3: Cross multiply
    188,813.81x = 260,532.56 × 108,226.50
  4. Step 4: Simplify right side
    188,813.81x = 28,196,527,375.41
  5. Step 5: Solve for x
    x = 28,196,527,375.41/188,813.81
  6. Step 6: Final answer
    x = 149,335.09

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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.