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Finding the Fourth Proportional to 277,472.59, 416,181.61 and 188,089.48

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Solution

The fourth proportional to 277,472.59, 416,181.61 and 188,089.48 is: 282,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,472.59 : 416,181.61 = 188,089.48 : x
  2. Step 2: Convert to fraction form
    277,472.59/416,181.61 = 188,089.48/x
  3. Step 3: Cross multiply
    277,472.59x = 416,181.61 × 188,089.48
  4. Step 4: Simplify right side
    277,472.59x = 78,279,381,499.62
  5. Step 5: Solve for x
    x = 78,279,381,499.62/277,472.59
  6. Step 6: Final answer
    x = 282,115.72

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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.