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Finding the Fourth Proportional to 228,348.42, 342,414.64 and 68,362.58

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Solution

The fourth proportional to 228,348.42, 342,414.64 and 68,362.58 is: 102,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,348.42 : 342,414.64 = 68,362.58 : x
  2. Step 2: Convert to fraction form
    228,348.42/342,414.64 = 68,362.58/x
  3. Step 3: Cross multiply
    228,348.42x = 342,414.64 × 68,362.58
  4. Step 4: Simplify right side
    228,348.42x = 23,408,349,161.66
  5. Step 5: Solve for x
    x = 23,408,349,161.66/228,348.42
  6. Step 6: Final answer
    x = 102,511.55

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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.