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Finding the Fourth Proportional to 277,298.98, 382,672.57 and 149,974.57

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Solution

The fourth proportional to 277,298.98, 382,672.57 and 149,974.57 is: 206,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,298.98 : 382,672.57 = 149,974.57 : x
  2. Step 2: Convert to fraction form
    277,298.98/382,672.57 = 149,974.57/x
  3. Step 3: Cross multiply
    277,298.98x = 382,672.57 × 149,974.57
  4. Step 4: Simplify right side
    277,298.98x = 57,391,154,136.54
  5. Step 5: Solve for x
    x = 57,391,154,136.54/277,298.98
  6. Step 6: Final answer
    x = 206,964.89

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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.