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Finding the Fourth Proportional to 256,067.27, 384,272.34 and 106,307.69

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Solution

The fourth proportional to 256,067.27, 384,272.34 and 106,307.69 is: 159,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,067.27 : 384,272.34 = 106,307.69 : x
  2. Step 2: Convert to fraction form
    256,067.27/384,272.34 = 106,307.69/x
  3. Step 3: Cross multiply
    256,067.27x = 384,272.34 × 106,307.69
  4. Step 4: Simplify right side
    256,067.27x = 40,851,102,476.28
  5. Step 5: Solve for x
    x = 40,851,102,476.28/256,067.27
  6. Step 6: Final answer
    x = 159,532.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.