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Finding the Fourth Proportional to 214,709.30, 296,293.14 and 119,213.54

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Solution

The fourth proportional to 214,709.30, 296,293.14 and 119,213.54 is: 164,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.30 : 296,293.14 = 119,213.54 : x
  2. Step 2: Convert to fraction form
    214,709.30/296,293.14 = 119,213.54/x
  3. Step 3: Cross multiply
    214,709.30x = 296,293.14 × 119,213.54
  4. Step 4: Simplify right side
    214,709.30x = 35,322,154,097.12
  5. Step 5: Solve for x
    x = 35,322,154,097.12/214,709.30
  6. Step 6: Final answer
    x = 164,511.52

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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.