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Finding the Fourth Proportional to 214,614.70, 296,194.53 and 119,152.15

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Solution

The fourth proportional to 214,614.70, 296,194.53 and 119,152.15 is: 164,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,614.70 : 296,194.53 = 119,152.15 : x
  2. Step 2: Convert to fraction form
    214,614.70/296,194.53 = 119,152.15/x
  3. Step 3: Cross multiply
    214,614.70x = 296,194.53 × 119,152.15
  4. Step 4: Simplify right side
    214,614.70x = 35,292,215,067.74
  5. Step 5: Solve for x
    x = 35,292,215,067.74/214,614.70
  6. Step 6: Final answer
    x = 164,444.54

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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.