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Finding the Fourth Proportional to 313,171.82, 469,753.63 and 76,516.55

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Solution

The fourth proportional to 313,171.82, 469,753.63 and 76,516.55 is: 114,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,171.82 : 469,753.63 = 76,516.55 : x
  2. Step 2: Convert to fraction form
    313,171.82/469,753.63 = 76,516.55/x
  3. Step 3: Cross multiply
    313,171.82x = 469,753.63 × 76,516.55
  4. Step 4: Simplify right side
    313,171.82x = 35,943,926,339.09
  5. Step 5: Solve for x
    x = 35,943,926,339.09/313,171.82
  6. Step 6: Final answer
    x = 114,773.82

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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.