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Finding the Fourth Proportional to 102,204, 153,262.20 and 35,624.42

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Solution

The fourth proportional to 102,204, 153,262.20 and 35,624.42 is: 53,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204 : 153,262.20 = 35,624.42 : x
  2. Step 2: Convert to fraction form
    102,204/153,262.20 = 35,624.42/x
  3. Step 3: Cross multiply
    102,204x = 153,262.20 × 35,624.42
  4. Step 4: Simplify right side
    102,204x = 5,459,876,982.92
  5. Step 5: Solve for x
    x = 5,459,876,982.92/102,204
  6. Step 6: Final answer
    x = 53,421.36

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