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Finding the Fourth Proportional to 262,857.03, 362,742.35 and 149,679.78

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Solution

The fourth proportional to 262,857.03, 362,742.35 and 149,679.78 is: 206,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857.03 : 362,742.35 = 149,679.78 : x
  2. Step 2: Convert to fraction form
    262,857.03/362,742.35 = 149,679.78/x
  3. Step 3: Cross multiply
    262,857.03x = 362,742.35 × 149,679.78
  4. Step 4: Simplify right side
    262,857.03x = 54,295,194,396.28
  5. Step 5: Solve for x
    x = 54,295,194,396.28/262,857.03
  6. Step 6: Final answer
    x = 206,557.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.