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Finding the Fourth Proportional to 214,040.40, 295,377.93 and 129,141.06

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Solution

The fourth proportional to 214,040.40, 295,377.93 and 129,141.06 is: 178,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,040.40 : 295,377.93 = 129,141.06 : x
  2. Step 2: Convert to fraction form
    214,040.40/295,377.93 = 129,141.06/x
  3. Step 3: Cross multiply
    214,040.40x = 295,377.93 × 129,141.06
  4. Step 4: Simplify right side
    214,040.40x = 38,145,419,234.97
  5. Step 5: Solve for x
    x = 38,145,419,234.97/214,040.40
  6. Step 6: Final answer
    x = 178,215.98

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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.