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Finding the Fourth Proportional to 214,489.82, 296,031.36 and 119,027.27

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Solution

The fourth proportional to 214,489.82, 296,031.36 and 119,027.27 is: 164,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,489.82 : 296,031.36 = 119,027.27 : x
  2. Step 2: Convert to fraction form
    214,489.82/296,031.36 = 119,027.27/x
  3. Step 3: Cross multiply
    214,489.82x = 296,031.36 × 119,027.27
  4. Step 4: Simplify right side
    214,489.82x = 35,235,803,135.03
  5. Step 5: Solve for x
    x = 35,235,803,135.03/214,489.82
  6. Step 6: Final answer
    x = 164,277.28

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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.