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Finding the Fourth Proportional to 102,181.43, 153,279.81 and 27,299.90

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Solution

The fourth proportional to 102,181.43, 153,279.81 and 27,299.90 is: 40,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.43 : 153,279.81 = 27,299.90 : x
  2. Step 2: Convert to fraction form
    102,181.43/153,279.81 = 27,299.90/x
  3. Step 3: Cross multiply
    102,181.43x = 153,279.81 × 27,299.90
  4. Step 4: Simplify right side
    102,181.43x = 4,184,523,868.22
  5. Step 5: Solve for x
    x = 4,184,523,868.22/102,181.43
  6. Step 6: Final answer
    x = 40,951.90

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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.