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Finding the Fourth Proportional to 231,066, 346,599 and 83,322

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Solution

The fourth proportional to 231,066, 346,599 and 83,322 is: 124,983

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,066 : 346,599 = 83,322 : x
  2. Step 2: Convert to fraction form
    231,066/346,599 = 83,322/x
  3. Step 3: Cross multiply
    231,066x = 346,599 × 83,322
  4. Step 4: Simplify right side
    231,066x = 28,879,321,878
  5. Step 5: Solve for x
    x = 28,879,321,878/231,066
  6. Step 6: Final answer
    x = 124,983

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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.