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Finding the Fourth Proportional to 188,930.88, 283,495.14 and 122,353.74

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Solution

The fourth proportional to 188,930.88, 283,495.14 and 122,353.74 is: 183,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,930.88 : 283,495.14 = 122,353.74 : x
  2. Step 2: Convert to fraction form
    188,930.88/283,495.14 = 122,353.74/x
  3. Step 3: Cross multiply
    188,930.88x = 283,495.14 × 122,353.74
  4. Step 4: Simplify right side
    188,930.88x = 34,686,690,650.82
  5. Step 5: Solve for x
    x = 34,686,690,650.82/188,930.88
  6. Step 6: Final answer
    x = 183,594.61

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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.