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Finding the Fourth Proportional to 277,831.20, 416,941.20 and 120,172.80

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Solution

The fourth proportional to 277,831.20, 416,941.20 and 120,172.80 is: 180,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,831.20 : 416,941.20 = 120,172.80 : x
  2. Step 2: Convert to fraction form
    277,831.20/416,941.20 = 120,172.80/x
  3. Step 3: Cross multiply
    277,831.20x = 416,941.20 × 120,172.80
  4. Step 4: Simplify right side
    277,831.20x = 50,104,991,439.36
  5. Step 5: Solve for x
    x = 50,104,991,439.36/277,831.20
  6. Step 6: Final answer
    x = 180,343.29

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