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Finding the Fourth Proportional to 277,507.92, 416,261.90 and 67,145.86

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Solution

The fourth proportional to 277,507.92, 416,261.90 and 67,145.86 is: 100,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,507.92 : 416,261.90 = 67,145.86 : x
  2. Step 2: Convert to fraction form
    277,507.92/416,261.90 = 67,145.86/x
  3. Step 3: Cross multiply
    277,507.92x = 416,261.90 × 67,145.86
  4. Step 4: Simplify right side
    277,507.92x = 27,950,261,179.42
  5. Step 5: Solve for x
    x = 27,950,261,179.42/277,507.92
  6. Step 6: Final answer
    x = 100,718.79

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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.