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Finding the Fourth Proportional to 192,750.50, 265,991.54 and 106,704.51

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Solution

The fourth proportional to 192,750.50, 265,991.54 and 106,704.51 is: 147,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,750.50 : 265,991.54 = 106,704.51 : x
  2. Step 2: Convert to fraction form
    192,750.50/265,991.54 = 106,704.51/x
  3. Step 3: Cross multiply
    192,750.50x = 265,991.54 × 106,704.51
  4. Step 4: Simplify right side
    192,750.50x = 28,382,496,406.32
  5. Step 5: Solve for x
    x = 28,382,496,406.32/192,750.50
  6. Step 6: Final answer
    x = 147,249.93

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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.