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Finding the Fourth Proportional to 192,080.97, 265,076 and 106,039.75

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Solution

The fourth proportional to 192,080.97, 265,076 and 106,039.75 is: 146,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,080.97 : 265,076 = 106,039.75 : x
  2. Step 2: Convert to fraction form
    192,080.97/265,076 = 106,039.75/x
  3. Step 3: Cross multiply
    192,080.97x = 265,076 × 106,039.75
  4. Step 4: Simplify right side
    192,080.97x = 28,108,592,771
  5. Step 5: Solve for x
    x = 28,108,592,771/192,080.97
  6. Step 6: Final answer
    x = 146,337.21

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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.