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Finding the Fourth Proportional to 232,194.11, 320,409.20 and 128,831.63

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Solution

The fourth proportional to 232,194.11, 320,409.20 and 128,831.63 is: 177,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,194.11 : 320,409.20 = 128,831.63 : x
  2. Step 2: Convert to fraction form
    232,194.11/320,409.20 = 128,831.63/x
  3. Step 3: Cross multiply
    232,194.11x = 320,409.20 × 128,831.63
  4. Step 4: Simplify right side
    232,194.11x = 41,278,838,223.03
  5. Step 5: Solve for x
    x = 41,278,838,223.03/232,194.11
  6. Step 6: Final answer
    x = 177,777.29

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