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Finding the Fourth Proportional to 214,959.56, 296,642.03 and 119,464.34

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Solution

The fourth proportional to 214,959.56, 296,642.03 and 119,464.34 is: 164,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,959.56 : 296,642.03 = 119,464.34 : x
  2. Step 2: Convert to fraction form
    214,959.56/296,642.03 = 119,464.34/x
  3. Step 3: Cross multiply
    214,959.56x = 296,642.03 × 119,464.34
  4. Step 4: Simplify right side
    214,959.56x = 35,438,142,249.68
  5. Step 5: Solve for x
    x = 35,438,142,249.68/214,959.56
  6. Step 6: Final answer
    x = 164,859.58

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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.