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Finding the Fourth Proportional to 232,705.14, 348,734.72 and 106,035.82

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Solution

The fourth proportional to 232,705.14, 348,734.72 and 106,035.82 is: 158,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,705.14 : 348,734.72 = 106,035.82 : x
  2. Step 2: Convert to fraction form
    232,705.14/348,734.72 = 106,035.82/x
  3. Step 3: Cross multiply
    232,705.14x = 348,734.72 × 106,035.82
  4. Step 4: Simplify right side
    232,705.14x = 36,978,371,997.67
  5. Step 5: Solve for x
    x = 36,978,371,997.67/232,705.14
  6. Step 6: Final answer
    x = 158,906.55

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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.