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Finding the Fourth Proportional to 232,107.73, 348,165.25 and 105,742.87

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Solution

The fourth proportional to 232,107.73, 348,165.25 and 105,742.87 is: 158,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,107.73 : 348,165.25 = 105,742.87 : x
  2. Step 2: Convert to fraction form
    232,107.73/348,165.25 = 105,742.87/x
  3. Step 3: Cross multiply
    232,107.73x = 348,165.25 × 105,742.87
  4. Step 4: Simplify right side
    232,107.73x = 36,815,993,651.85
  5. Step 5: Solve for x
    x = 36,815,993,651.85/232,107.73
  6. Step 6: Final answer
    x = 158,615.97

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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.