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Finding the Fourth Proportional to 228,154.25, 342,231.39 and 61,942.25

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Solution

The fourth proportional to 228,154.25, 342,231.39 and 61,942.25 is: 92,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,154.25 : 342,231.39 = 61,942.25 : x
  2. Step 2: Convert to fraction form
    228,154.25/342,231.39 = 61,942.25/x
  3. Step 3: Cross multiply
    228,154.25x = 342,231.39 × 61,942.25
  4. Step 4: Simplify right side
    228,154.25x = 21,198,582,317.23
  5. Step 5: Solve for x
    x = 21,198,582,317.23/228,154.25
  6. Step 6: Final answer
    x = 92,913.38

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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.