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Finding the Fourth Proportional to 228,907.82, 343,404.80 and 92,141.39

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Solution

The fourth proportional to 228,907.82, 343,404.80 and 92,141.39 is: 138,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,907.82 : 343,404.80 = 92,141.39 : x
  2. Step 2: Convert to fraction form
    228,907.82/343,404.80 = 92,141.39/x
  3. Step 3: Cross multiply
    228,907.82x = 343,404.80 × 92,141.39
  4. Step 4: Simplify right side
    228,907.82x = 31,641,793,426.94
  5. Step 5: Solve for x
    x = 31,641,793,426.94/228,907.82
  6. Step 6: Final answer
    x = 138,229.42

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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.