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Finding the Fourth Proportional to 97,370.10, 134,247.42 and 82,819.62

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Solution

The fourth proportional to 97,370.10, 134,247.42 and 82,819.62 is: 114,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370.10 : 134,247.42 = 82,819.62 : x
  2. Step 2: Convert to fraction form
    97,370.10/134,247.42 = 82,819.62/x
  3. Step 3: Cross multiply
    97,370.10x = 134,247.42 × 82,819.62
  4. Step 4: Simplify right side
    97,370.10x = 11,118,320,310.38
  5. Step 5: Solve for x
    x = 11,118,320,310.38/97,370.10
  6. Step 6: Final answer
    x = 114,186.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.