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Finding the Fourth Proportional to 277,546.36, 383,016.78 and 150,224.68

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Solution

The fourth proportional to 277,546.36, 383,016.78 and 150,224.68 is: 207,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,546.36 : 383,016.78 = 150,224.68 : x
  2. Step 2: Convert to fraction form
    277,546.36/383,016.78 = 150,224.68/x
  3. Step 3: Cross multiply
    277,546.36x = 383,016.78 × 150,224.68
  4. Step 4: Simplify right side
    277,546.36x = 57,538,573,210.13
  5. Step 5: Solve for x
    x = 57,538,573,210.13/277,546.36
  6. Step 6: Final answer
    x = 207,311.58

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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.