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Finding the Fourth Proportional to 214,651.29, 296,203.92 and 119,150.46

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Solution

The fourth proportional to 214,651.29, 296,203.92 and 119,150.46 is: 164,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,651.29 : 296,203.92 = 119,150.46 : x
  2. Step 2: Convert to fraction form
    214,651.29/296,203.92 = 119,150.46/x
  3. Step 3: Cross multiply
    214,651.29x = 296,203.92 × 119,150.46
  4. Step 4: Simplify right side
    214,651.29x = 35,292,833,321.80
  5. Step 5: Solve for x
    x = 35,292,833,321.80/214,651.29
  6. Step 6: Final answer
    x = 164,419.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.