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Finding the Fourth Proportional to 214,246, 295,536.36 and 133,634.80

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Solution

The fourth proportional to 214,246, 295,536.36 and 133,634.80 is: 184,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,246 : 295,536.36 = 133,634.80 : x
  2. Step 2: Convert to fraction form
    214,246/295,536.36 = 133,634.80/x
  3. Step 3: Cross multiply
    214,246x = 295,536.36 × 133,634.80
  4. Step 4: Simplify right side
    214,246x = 39,493,942,361.33
  5. Step 5: Solve for x
    x = 39,493,942,361.33/214,246
  6. Step 6: Final answer
    x = 184,339.23

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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.