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Finding the Fourth Proportional to 277,712.96, 416,288.94 and 109,351.44

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Solution

The fourth proportional to 277,712.96, 416,288.94 and 109,351.44 is: 163,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,712.96 : 416,288.94 = 109,351.44 : x
  2. Step 2: Convert to fraction form
    277,712.96/416,288.94 = 109,351.44/x
  3. Step 3: Cross multiply
    277,712.96x = 416,288.94 × 109,351.44
  4. Step 4: Simplify right side
    277,712.96x = 45,521,795,045.07
  5. Step 5: Solve for x
    x = 45,521,795,045.07/277,712.96
  6. Step 6: Final answer
    x = 163,916.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.