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Finding the Fourth Proportional to 214,491.60, 296,033.94 and 119,028.96

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Solution

The fourth proportional to 214,491.60, 296,033.94 and 119,028.96 is: 164,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.60 : 296,033.94 = 119,028.96 : x
  2. Step 2: Convert to fraction form
    214,491.60/296,033.94 = 119,028.96/x
  3. Step 3: Cross multiply
    214,491.60x = 296,033.94 × 119,028.96
  4. Step 4: Simplify right side
    214,491.60x = 35,236,612,002.90
  5. Step 5: Solve for x
    x = 35,236,612,002.90/214,491.60
  6. Step 6: Final answer
    x = 164,279.68

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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.