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Finding the Fourth Proportional to 195,516, 269,812.26 and 106,092

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Solution

The fourth proportional to 195,516, 269,812.26 and 106,092 is: 146,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,516 : 269,812.26 = 106,092 : x
  2. Step 2: Convert to fraction form
    195,516/269,812.26 = 106,092/x
  3. Step 3: Cross multiply
    195,516x = 269,812.26 × 106,092
  4. Step 4: Simplify right side
    195,516x = 28,624,922,287.92
  5. Step 5: Solve for x
    x = 28,624,922,287.92/195,516
  6. Step 6: Final answer
    x = 146,407.06

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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.