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Finding the Fourth Proportional to 192,448.70, 265,568.49 and 106,402.71

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Solution

The fourth proportional to 192,448.70, 265,568.49 and 106,402.71 is: 146,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,448.70 : 265,568.49 = 106,402.71 : x
  2. Step 2: Convert to fraction form
    192,448.70/265,568.49 = 106,402.71/x
  3. Step 3: Cross multiply
    192,448.70x = 265,568.49 × 106,402.71
  4. Step 4: Simplify right side
    192,448.70x = 28,257,207,026.61
  5. Step 5: Solve for x
    x = 28,257,207,026.61/192,448.70
  6. Step 6: Final answer
    x = 146,829.82

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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.