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Finding the Fourth Proportional to 277,637.10, 416,212.65 and 188,601.90

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Solution

The fourth proportional to 277,637.10, 416,212.65 and 188,601.90 is: 282,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,637.10 : 416,212.65 = 188,601.90 : x
  2. Step 2: Convert to fraction form
    277,637.10/416,212.65 = 188,601.90/x
  3. Step 3: Cross multiply
    277,637.10x = 416,212.65 × 188,601.90
  4. Step 4: Simplify right side
    277,637.10x = 78,498,496,594.04
  5. Step 5: Solve for x
    x = 78,498,496,594.04/277,637.10
  6. Step 6: Final answer
    x = 282,737.78

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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.