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Finding the Fourth Proportional to 168,908.14, 252,857.09 and 102,146.22

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Solution

The fourth proportional to 168,908.14, 252,857.09 and 102,146.22 is: 152,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,908.14 : 252,857.09 = 102,146.22 : x
  2. Step 2: Convert to fraction form
    168,908.14/252,857.09 = 102,146.22/x
  3. Step 3: Cross multiply
    168,908.14x = 252,857.09 × 102,146.22
  4. Step 4: Simplify right side
    168,908.14x = 25,828,395,943.70
  5. Step 5: Solve for x
    x = 25,828,395,943.70/168,908.14
  6. Step 6: Final answer
    x = 152,913.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.