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Finding the Fourth Proportional to 195,636.66, 269,974.53 and 106,212.66

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Solution

The fourth proportional to 195,636.66, 269,974.53 and 106,212.66 is: 146,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,636.66 : 269,974.53 = 106,212.66 : x
  2. Step 2: Convert to fraction form
    195,636.66/269,974.53 = 106,212.66/x
  3. Step 3: Cross multiply
    195,636.66x = 269,974.53 × 106,212.66
  4. Step 4: Simplify right side
    195,636.66x = 28,674,712,963.55
  5. Step 5: Solve for x
    x = 28,674,712,963.55/195,636.66
  6. Step 6: Final answer
    x = 146,571.27

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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.