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Finding the Fourth Proportional to 277,277.64, 382,644.30 and 149,953.24

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Solution

The fourth proportional to 277,277.64, 382,644.30 and 149,953.24 is: 206,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,277.64 : 382,644.30 = 149,953.24 : x
  2. Step 2: Convert to fraction form
    277,277.64/382,644.30 = 149,953.24/x
  3. Step 3: Cross multiply
    277,277.64x = 382,644.30 × 149,953.24
  4. Step 4: Simplify right side
    277,277.64x = 57,378,752,552.53
  5. Step 5: Solve for x
    x = 57,378,752,552.53/277,277.64
  6. Step 6: Final answer
    x = 206,936.10

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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.