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Finding the Fourth Proportional to 214,185.54, 295,583.67 and 129,286.02

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Solution

The fourth proportional to 214,185.54, 295,583.67 and 129,286.02 is: 178,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,185.54 : 295,583.67 = 129,286.02 : x
  2. Step 2: Convert to fraction form
    214,185.54/295,583.67 = 129,286.02/x
  3. Step 3: Cross multiply
    214,185.54x = 295,583.67 × 129,286.02
  4. Step 4: Simplify right side
    214,185.54x = 38,214,836,271.29
  5. Step 5: Solve for x
    x = 38,214,836,271.29/214,185.54
  6. Step 6: Final answer
    x = 178,419.31

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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.