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Finding the Fourth Proportional to 228,963.06, 343,642.23 and 158,891.58

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Solution

The fourth proportional to 228,963.06, 343,642.23 and 158,891.58 is: 238,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963.06 : 343,642.23 = 158,891.58 : x
  2. Step 2: Convert to fraction form
    228,963.06/343,642.23 = 158,891.58/x
  3. Step 3: Cross multiply
    228,963.06x = 343,642.23 × 158,891.58
  4. Step 4: Simplify right side
    228,963.06x = 54,601,856,879.42
  5. Step 5: Solve for x
    x = 54,601,856,879.42/228,963.06
  6. Step 6: Final answer
    x = 238,474.52

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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.