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Finding the Fourth Proportional to 192,447.70, 265,567.11 and 106,401.71

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Solution

The fourth proportional to 192,447.70, 265,567.11 and 106,401.71 is: 146,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,447.70 : 265,567.11 = 106,401.71 : x
  2. Step 2: Convert to fraction form
    192,447.70/265,567.11 = 106,401.71/x
  3. Step 3: Cross multiply
    192,447.70x = 265,567.11 × 106,401.71
  4. Step 4: Simplify right side
    192,447.70x = 28,256,793,295.92
  5. Step 5: Solve for x
    x = 28,256,793,295.92/192,447.70
  6. Step 6: Final answer
    x = 146,828.43

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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.