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Finding the Fourth Proportional to 195,532.31, 269,834.59 and 106,108.31

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Solution

The fourth proportional to 195,532.31, 269,834.59 and 106,108.31 is: 146,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,532.31 : 269,834.59 = 106,108.31 : x
  2. Step 2: Convert to fraction form
    195,532.31/269,834.59 = 106,108.31/x
  3. Step 3: Cross multiply
    195,532.31x = 269,834.59 × 106,108.31
  4. Step 4: Simplify right side
    195,532.31x = 28,631,693,131.66
  5. Step 5: Solve for x
    x = 28,631,693,131.66/195,532.31
  6. Step 6: Final answer
    x = 146,429.47

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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.