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Finding the Fourth Proportional to 214,710.30, 296,294.52 and 119,214.54

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Solution

The fourth proportional to 214,710.30, 296,294.52 and 119,214.54 is: 164,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,710.30 : 296,294.52 = 119,214.54 : x
  2. Step 2: Convert to fraction form
    214,710.30/296,294.52 = 119,214.54/x
  3. Step 3: Cross multiply
    214,710.30x = 296,294.52 × 119,214.54
  4. Step 4: Simplify right side
    214,710.30x = 35,322,614,906.32
  5. Step 5: Solve for x
    x = 35,322,614,906.32/214,710.30
  6. Step 6: Final answer
    x = 164,512.90

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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.