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Finding the Fourth Proportional to 277,163.82, 415,742.09 and 66,799.94

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Solution

The fourth proportional to 277,163.82, 415,742.09 and 66,799.94 is: 100,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,163.82 : 415,742.09 = 66,799.94 : x
  2. Step 2: Convert to fraction form
    277,163.82/415,742.09 = 66,799.94/x
  3. Step 3: Cross multiply
    277,163.82x = 415,742.09 × 66,799.94
  4. Step 4: Simplify right side
    277,163.82x = 27,771,545,461.12
  5. Step 5: Solve for x
    x = 27,771,545,461.12/277,163.82
  6. Step 6: Final answer
    x = 100,199.03

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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.