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Finding the Fourth Proportional to 192,230.48, 265,285.57 and 106,193.90

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Solution

The fourth proportional to 192,230.48, 265,285.57 and 106,193.90 is: 146,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,230.48 : 265,285.57 = 106,193.90 : x
  2. Step 2: Convert to fraction form
    192,230.48/265,285.57 = 106,193.90/x
  3. Step 3: Cross multiply
    192,230.48x = 265,285.57 × 106,193.90
  4. Step 4: Simplify right side
    192,230.48x = 28,171,709,292.02
  5. Step 5: Solve for x
    x = 28,171,709,292.02/192,230.48
  6. Step 6: Final answer
    x = 146,551.73

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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.