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Finding the Fourth Proportional to 188,808.76, 283,213.88 and 76,491.10

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Solution

The fourth proportional to 188,808.76, 283,213.88 and 76,491.10 is: 114,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,808.76 : 283,213.88 = 76,491.10 : x
  2. Step 2: Convert to fraction form
    188,808.76/283,213.88 = 76,491.10/x
  3. Step 3: Cross multiply
    188,808.76x = 283,213.88 × 76,491.10
  4. Step 4: Simplify right side
    188,808.76x = 21,663,341,216.47
  5. Step 5: Solve for x
    x = 21,663,341,216.47/188,808.76
  6. Step 6: Final answer
    x = 114,736.95

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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.