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Finding the Fourth Proportional to 214,414.36, 295,913.34 and 118,939.60

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Solution

The fourth proportional to 214,414.36, 295,913.34 and 118,939.60 is: 164,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,414.36 : 295,913.34 = 118,939.60 : x
  2. Step 2: Convert to fraction form
    214,414.36/295,913.34 = 118,939.60/x
  3. Step 3: Cross multiply
    214,414.36x = 295,913.34 × 118,939.60
  4. Step 4: Simplify right side
    214,414.36x = 35,195,814,294.26
  5. Step 5: Solve for x
    x = 35,195,814,294.26/214,414.36
  6. Step 6: Final answer
    x = 164,148.59

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