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Finding the Fourth Proportional to 105,722.70, 158,292.45 and 82,394.70

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Solution

The fourth proportional to 105,722.70, 158,292.45 and 82,394.70 is: 123,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,722.70 : 158,292.45 = 82,394.70 : x
  2. Step 2: Convert to fraction form
    105,722.70/158,292.45 = 82,394.70/x
  3. Step 3: Cross multiply
    105,722.70x = 158,292.45 × 82,394.70
  4. Step 4: Simplify right side
    105,722.70x = 13,042,458,930.02
  5. Step 5: Solve for x
    x = 13,042,458,930.02/105,722.70
  6. Step 6: Final answer
    x = 123,364.79

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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.