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Finding the Fourth Proportional to 214,388.55, 295,874.37 and 118,926

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Solution

The fourth proportional to 214,388.55, 295,874.37 and 118,926 is: 164,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,388.55 : 295,874.37 = 118,926 : x
  2. Step 2: Convert to fraction form
    214,388.55/295,874.37 = 118,926/x
  3. Step 3: Cross multiply
    214,388.55x = 295,874.37 × 118,926
  4. Step 4: Simplify right side
    214,388.55x = 35,187,155,326.62
  5. Step 5: Solve for x
    x = 35,187,155,326.62/214,388.55
  6. Step 6: Final answer
    x = 164,127.96

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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.