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Finding the Fourth Proportional to 214,634.96, 296,197.39 and 134,109.18

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Solution

The fourth proportional to 214,634.96, 296,197.39 and 134,109.18 is: 185,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,634.96 : 296,197.39 = 134,109.18 : x
  2. Step 2: Convert to fraction form
    214,634.96/296,197.39 = 134,109.18/x
  3. Step 3: Cross multiply
    214,634.96x = 296,197.39 × 134,109.18
  4. Step 4: Simplify right side
    214,634.96x = 39,722,789,091.04
  5. Step 5: Solve for x
    x = 39,722,789,091.04/214,634.96
  6. Step 6: Final answer
    x = 185,071.38

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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.