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Finding the Fourth Proportional to 214,404.56, 295,896.45 and 118,942

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Solution

The fourth proportional to 214,404.56, 295,896.45 and 118,942 is: 164,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,404.56 : 295,896.45 = 118,942 : x
  2. Step 2: Convert to fraction form
    214,404.56/295,896.45 = 118,942/x
  3. Step 3: Cross multiply
    214,404.56x = 295,896.45 × 118,942
  4. Step 4: Simplify right side
    214,404.56x = 35,194,515,555.90
  5. Step 5: Solve for x
    x = 35,194,515,555.90/214,404.56
  6. Step 6: Final answer
    x = 164,150.03

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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.