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Finding the Fourth Proportional to 214,414.82, 295,905.70 and 118,921.58

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Solution

The fourth proportional to 214,414.82, 295,905.70 and 118,921.58 is: 164,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,414.82 : 295,905.70 = 118,921.58 : x
  2. Step 2: Convert to fraction form
    214,414.82/295,905.70 = 118,921.58/x
  3. Step 3: Cross multiply
    214,414.82x = 295,905.70 × 118,921.58
  4. Step 4: Simplify right side
    214,414.82x = 35,189,573,375.01
  5. Step 5: Solve for x
    x = 35,189,573,375.01/214,414.82
  6. Step 6: Final answer
    x = 164,119.13

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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.