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Finding the Fourth Proportional to 214,928.97, 296,588.37 and 119,429.97

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Solution

The fourth proportional to 214,928.97, 296,588.37 and 119,429.97 is: 164,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,928.97 : 296,588.37 = 119,429.97 : x
  2. Step 2: Convert to fraction form
    214,928.97/296,588.37 = 119,429.97/x
  3. Step 3: Cross multiply
    214,928.97x = 296,588.37 × 119,429.97
  4. Step 4: Simplify right side
    214,928.97x = 35,421,540,131.45
  5. Step 5: Solve for x
    x = 35,421,540,131.45/214,928.97
  6. Step 6: Final answer
    x = 164,805.80

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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.