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Finding the Fourth Proportional to 312,732.67, 469,099.14 and 76,073.89

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Solution

The fourth proportional to 312,732.67, 469,099.14 and 76,073.89 is: 114,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,732.67 : 469,099.14 = 76,073.89 : x
  2. Step 2: Convert to fraction form
    312,732.67/469,099.14 = 76,073.89/x
  3. Step 3: Cross multiply
    312,732.67x = 469,099.14 × 76,073.89
  4. Step 4: Simplify right side
    312,732.67x = 35,686,196,375.45
  5. Step 5: Solve for x
    x = 35,686,196,375.45/312,732.67
  6. Step 6: Final answer
    x = 114,110.87

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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.