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Finding the Fourth Proportional to 195,628.66, 269,963.49 and 106,204.66

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Solution

The fourth proportional to 195,628.66, 269,963.49 and 106,204.66 is: 146,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,628.66 : 269,963.49 = 106,204.66 : x
  2. Step 2: Convert to fraction form
    195,628.66/269,963.49 = 106,204.66/x
  3. Step 3: Cross multiply
    195,628.66x = 269,963.49 × 106,204.66
  4. Step 4: Simplify right side
    195,628.66x = 28,671,380,667.86
  5. Step 5: Solve for x
    x = 28,671,380,667.86/195,628.66
  6. Step 6: Final answer
    x = 146,560.23

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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.