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Finding the Fourth Proportional to 214,040.34, 295,377.84 and 129,141

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Solution

The fourth proportional to 214,040.34, 295,377.84 and 129,141 is: 178,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,040.34 : 295,377.84 = 129,141 : x
  2. Step 2: Convert to fraction form
    214,040.34/295,377.84 = 129,141/x
  3. Step 3: Cross multiply
    214,040.34x = 295,377.84 × 129,141
  4. Step 4: Simplify right side
    214,040.34x = 38,145,389,635.44
  5. Step 5: Solve for x
    x = 38,145,389,635.44/214,040.34
  6. Step 6: Final answer
    x = 178,215.89

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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.