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Finding the Fourth Proportional to 214,581.64, 322,042.54 and 113,451.48

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Solution

The fourth proportional to 214,581.64, 322,042.54 and 113,451.48 is: 170,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,581.64 : 322,042.54 = 113,451.48 : x
  2. Step 2: Convert to fraction form
    214,581.64/322,042.54 = 113,451.48/x
  3. Step 3: Cross multiply
    214,581.64x = 322,042.54 × 113,451.48
  4. Step 4: Simplify right side
    214,581.64x = 36,536,202,785.96
  5. Step 5: Solve for x
    x = 36,536,202,785.96/214,581.64
  6. Step 6: Final answer
    x = 170,267.14

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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.