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Finding the Fourth Proportional to 224,777.35, 336,904.16 and 82,515.28

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Solution

The fourth proportional to 224,777.35, 336,904.16 and 82,515.28 is: 123,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,777.35 : 336,904.16 = 82,515.28 : x
  2. Step 2: Convert to fraction form
    224,777.35/336,904.16 = 82,515.28/x
  3. Step 3: Cross multiply
    224,777.35x = 336,904.16 × 82,515.28
  4. Step 4: Simplify right side
    224,777.35x = 27,799,741,884.11
  5. Step 5: Solve for x
    x = 27,799,741,884.11/224,777.35
  6. Step 6: Final answer
    x = 123,676.79

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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.