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Finding the Fourth Proportional to 277,847.83, 416,582.20 and 133,677.55

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Solution

The fourth proportional to 277,847.83, 416,582.20 and 133,677.55 is: 200,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,847.83 : 416,582.20 = 133,677.55 : x
  2. Step 2: Convert to fraction form
    277,847.83/416,582.20 = 133,677.55/x
  3. Step 3: Cross multiply
    277,847.83x = 416,582.20 × 133,677.55
  4. Step 4: Simplify right side
    277,847.83x = 55,687,687,869.61
  5. Step 5: Solve for x
    x = 55,687,687,869.61/277,847.83
  6. Step 6: Final answer
    x = 200,425.13

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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.