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Finding the Fourth Proportional to 277,276.14, 382,642.23 and 149,951.74

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Solution

The fourth proportional to 277,276.14, 382,642.23 and 149,951.74 is: 206,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,276.14 : 382,642.23 = 149,951.74 : x
  2. Step 2: Convert to fraction form
    277,276.14/382,642.23 = 149,951.74/x
  3. Step 3: Cross multiply
    277,276.14x = 382,642.23 × 149,951.74
  4. Step 4: Simplify right side
    277,276.14x = 57,377,867,229.37
  5. Step 5: Solve for x
    x = 57,377,867,229.37/277,276.14
  6. Step 6: Final answer
    x = 206,934.02

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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.