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Finding the Fourth Proportional to 277,433.40, 382,858.12 and 150,109

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Solution

The fourth proportional to 277,433.40, 382,858.12 and 150,109 is: 207,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,433.40 : 382,858.12 = 150,109 : x
  2. Step 2: Convert to fraction form
    277,433.40/382,858.12 = 150,109/x
  3. Step 3: Cross multiply
    277,433.40x = 382,858.12 × 150,109
  4. Step 4: Simplify right side
    277,433.40x = 57,470,449,535.08
  5. Step 5: Solve for x
    x = 57,470,449,535.08/277,433.40
  6. Step 6: Final answer
    x = 207,150.44

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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.