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Finding the Fourth Proportional to 158,006.73, 218,236.32 and 106,930.89

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Solution

The fourth proportional to 158,006.73, 218,236.32 and 106,930.89 is: 147,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,006.73 : 218,236.32 = 106,930.89 : x
  2. Step 2: Convert to fraction form
    158,006.73/218,236.32 = 106,930.89/x
  3. Step 3: Cross multiply
    158,006.73x = 218,236.32 × 106,930.89
  4. Step 4: Simplify right side
    158,006.73x = 23,336,203,927.92
  5. Step 5: Solve for x
    x = 23,336,203,927.92/158,006.73
  6. Step 6: Final answer
    x = 147,691.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.