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Finding the Fourth Proportional to 195,542.46, 269,848.58 and 106,118.46

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Solution

The fourth proportional to 195,542.46, 269,848.58 and 106,118.46 is: 146,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,542.46 : 269,848.58 = 106,118.46 : x
  2. Step 2: Convert to fraction form
    195,542.46/269,848.58 = 106,118.46/x
  3. Step 3: Cross multiply
    195,542.46x = 269,848.58 × 106,118.46
  4. Step 4: Simplify right side
    195,542.46x = 28,635,915,212.19
  5. Step 5: Solve for x
    x = 28,635,915,212.19/195,542.46
  6. Step 6: Final answer
    x = 146,443.46

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