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Finding the Fourth Proportional to 192,740.51, 265,977.76 and 106,694.51

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Solution

The fourth proportional to 192,740.51, 265,977.76 and 106,694.51 is: 147,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,740.51 : 265,977.76 = 106,694.51 : x
  2. Step 2: Convert to fraction form
    192,740.51/265,977.76 = 106,694.51/x
  3. Step 3: Cross multiply
    192,740.51x = 265,977.76 × 106,694.51
  4. Step 4: Simplify right side
    192,740.51x = 28,378,366,240.63
  5. Step 5: Solve for x
    x = 28,378,366,240.63/192,740.51
  6. Step 6: Final answer
    x = 147,236.13

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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.