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Finding the Fourth Proportional to 192,214.42, 265,251.21 and 106,180.57

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Solution

The fourth proportional to 192,214.42, 265,251.21 and 106,180.57 is: 146,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,214.42 : 265,251.21 = 106,180.57 : x
  2. Step 2: Convert to fraction form
    192,214.42/265,251.21 = 106,180.57/x
  3. Step 3: Cross multiply
    192,214.42x = 265,251.21 × 106,180.57
  4. Step 4: Simplify right side
    192,214.42x = 28,164,524,604.38
  5. Step 5: Solve for x
    x = 28,164,524,604.38/192,214.42
  6. Step 6: Final answer
    x = 146,526.60

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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.