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Finding the Fourth Proportional to 214,398.88, 295,868.88 and 117,604.96

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Solution

The fourth proportional to 214,398.88, 295,868.88 and 117,604.96 is: 162,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,398.88 : 295,868.88 = 117,604.96 : x
  2. Step 2: Convert to fraction form
    214,398.88/295,868.88 = 117,604.96/x
  3. Step 3: Cross multiply
    214,398.88x = 295,868.88 × 117,604.96
  4. Step 4: Simplify right side
    214,398.88x = 34,795,647,797.64
  5. Step 5: Solve for x
    x = 34,795,647,797.64/214,398.88
  6. Step 6: Final answer
    x = 162,293.98

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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.