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Finding the Fourth Proportional to 277,472.91, 416,209.56 and 67,111.05

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Solution

The fourth proportional to 277,472.91, 416,209.56 and 67,111.05 is: 100,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,472.91 : 416,209.56 = 67,111.05 : x
  2. Step 2: Convert to fraction form
    277,472.91/416,209.56 = 67,111.05/x
  3. Step 3: Cross multiply
    277,472.91x = 416,209.56 × 67,111.05
  4. Step 4: Simplify right side
    277,472.91x = 27,932,260,591.64
  5. Step 5: Solve for x
    x = 27,932,260,591.64/277,472.91
  6. Step 6: Final answer
    x = 100,666.62

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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.