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Finding the Fourth Proportional to 277,892.32, 416,837.40 and 67,530.88

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Solution

The fourth proportional to 277,892.32, 416,837.40 and 67,530.88 is: 101,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,892.32 : 416,837.40 = 67,530.88 : x
  2. Step 2: Convert to fraction form
    277,892.32/416,837.40 = 67,530.88/x
  3. Step 3: Cross multiply
    277,892.32x = 416,837.40 × 67,530.88
  4. Step 4: Simplify right side
    277,892.32x = 28,149,396,438.91
  5. Step 5: Solve for x
    x = 28,149,396,438.91/277,892.32
  6. Step 6: Final answer
    x = 101,296.06

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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.