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Finding the Fourth Proportional to 135,831.20, 203,746.80 and 100,839.20

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Solution

The fourth proportional to 135,831.20, 203,746.80 and 100,839.20 is: 151,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,831.20 : 203,746.80 = 100,839.20 : x
  2. Step 2: Convert to fraction form
    135,831.20/203,746.80 = 100,839.20/x
  3. Step 3: Cross multiply
    135,831.20x = 203,746.80 × 100,839.20
  4. Step 4: Simplify right side
    135,831.20x = 20,545,664,314.56
  5. Step 5: Solve for x
    x = 20,545,664,314.56/135,831.20
  6. Step 6: Final answer
    x = 151,258.80

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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.