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Finding the Fourth Proportional to 277,296.48, 382,669.13 and 149,972.06

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Solution

The fourth proportional to 277,296.48, 382,669.13 and 149,972.06 is: 206,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,296.48 : 382,669.13 = 149,972.06 : x
  2. Step 2: Convert to fraction form
    277,296.48/382,669.13 = 149,972.06/x
  3. Step 3: Cross multiply
    277,296.48x = 382,669.13 × 149,972.06
  4. Step 4: Simplify right side
    277,296.48x = 57,389,679,056.11
  5. Step 5: Solve for x
    x = 57,389,679,056.11/277,296.48
  6. Step 6: Final answer
    x = 206,961.44

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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.