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Finding the Fourth Proportional to 133,009.62, 199,514.66 and 106,524.06

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Solution

The fourth proportional to 133,009.62, 199,514.66 and 106,524.06 is: 159,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,009.62 : 199,514.66 = 106,524.06 : x
  2. Step 2: Convert to fraction form
    133,009.62/199,514.66 = 106,524.06/x
  3. Step 3: Cross multiply
    133,009.62x = 199,514.66 × 106,524.06
  4. Step 4: Simplify right side
    133,009.62x = 21,253,111,080.10
  5. Step 5: Solve for x
    x = 21,253,111,080.10/133,009.62
  6. Step 6: Final answer
    x = 159,786.27

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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.