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Finding the Fourth Proportional to 179,756.76, 269,635.18 and 55,097.76

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Solution

The fourth proportional to 179,756.76, 269,635.18 and 55,097.76 is: 82,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,756.76 : 269,635.18 = 55,097.76 : x
  2. Step 2: Convert to fraction form
    179,756.76/269,635.18 = 55,097.76/x
  3. Step 3: Cross multiply
    179,756.76x = 269,635.18 × 55,097.76
  4. Step 4: Simplify right side
    179,756.76x = 14,856,294,435.20
  5. Step 5: Solve for x
    x = 14,856,294,435.20/179,756.76
  6. Step 6: Final answer
    x = 82,646.65

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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.