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Finding the Fourth Proportional to 232,706.14, 348,736.22 and 106,036.82

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Solution

The fourth proportional to 232,706.14, 348,736.22 and 106,036.82 is: 158,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706.14 : 348,736.22 = 106,036.82 : x
  2. Step 2: Convert to fraction form
    232,706.14/348,736.22 = 106,036.82/x
  3. Step 3: Cross multiply
    232,706.14x = 348,736.22 × 106,036.82
  4. Step 4: Simplify right side
    232,706.14x = 36,978,879,787.62
  5. Step 5: Solve for x
    x = 36,978,879,787.62/232,706.14
  6. Step 6: Final answer
    x = 158,908.05

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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.