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Finding the Fourth Proportional to 186,194.92, 279,224.34 and 67,831.24

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Solution

The fourth proportional to 186,194.92, 279,224.34 and 67,831.24 is: 101,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,194.92 : 279,224.34 = 67,831.24 : x
  2. Step 2: Convert to fraction form
    186,194.92/279,224.34 = 67,831.24/x
  3. Step 3: Cross multiply
    186,194.92x = 279,224.34 × 67,831.24
  4. Step 4: Simplify right side
    186,194.92x = 18,940,133,220.38
  5. Step 5: Solve for x
    x = 18,940,133,220.38/186,194.92
  6. Step 6: Final answer
    x = 101,722.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.