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Finding the Fourth Proportional to 185,791.64, 256,398.52 and 105,217.43

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Solution

The fourth proportional to 185,791.64, 256,398.52 and 105,217.43 is: 145,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,791.64 : 256,398.52 = 105,217.43 : x
  2. Step 2: Convert to fraction form
    185,791.64/256,398.52 = 105,217.43/x
  3. Step 3: Cross multiply
    185,791.64x = 256,398.52 × 105,217.43
  4. Step 4: Simplify right side
    185,791.64x = 26,977,593,330.20
  5. Step 5: Solve for x
    x = 26,977,593,330.20/185,791.64
  6. Step 6: Final answer
    x = 145,203.48

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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.