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Finding the Fourth Proportional to 213,388.92, 294,226.92 and 145,446.12

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Solution

The fourth proportional to 213,388.92, 294,226.92 and 145,446.12 is: 200,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,388.92 : 294,226.92 = 145,446.12 : x
  2. Step 2: Convert to fraction form
    213,388.92/294,226.92 = 145,446.12/x
  3. Step 3: Cross multiply
    213,388.92x = 294,226.92 × 145,446.12
  4. Step 4: Simplify right side
    213,388.92x = 42,794,163,913.55
  5. Step 5: Solve for x
    x = 42,794,163,913.55/213,388.92
  6. Step 6: Final answer
    x = 200,545.39

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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.