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Finding the Fourth Proportional to 195,551, 269,863.62 and 106,127

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Solution

The fourth proportional to 195,551, 269,863.62 and 106,127 is: 146,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,551 : 269,863.62 = 106,127 : x
  2. Step 2: Convert to fraction form
    195,551/269,863.62 = 106,127/x
  3. Step 3: Cross multiply
    195,551x = 269,863.62 × 106,127
  4. Step 4: Simplify right side
    195,551x = 28,639,816,399.74
  5. Step 5: Solve for x
    x = 28,639,816,399.74/195,551
  6. Step 6: Final answer
    x = 146,457.02

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Why These Related Problems?

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