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Finding the Fourth Proportional to 102,204.70, 153,295.37 and 27,330.68

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Solution

The fourth proportional to 102,204.70, 153,295.37 and 27,330.68 is: 40,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204.70 : 153,295.37 = 27,330.68 : x
  2. Step 2: Convert to fraction form
    102,204.70/153,295.37 = 27,330.68/x
  3. Step 3: Cross multiply
    102,204.70x = 153,295.37 × 27,330.68
  4. Step 4: Simplify right side
    102,204.70x = 4,189,667,052.03
  5. Step 5: Solve for x
    x = 4,189,667,052.03/102,204.70
  6. Step 6: Final answer
    x = 40,992.90

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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.