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Finding the Fourth Proportional to 214,305.01, 295,744.31 and 117,517.67

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Solution

The fourth proportional to 214,305.01, 295,744.31 and 117,517.67 is: 162,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,305.01 : 295,744.31 = 117,517.67 : x
  2. Step 2: Convert to fraction form
    214,305.01/295,744.31 = 117,517.67/x
  3. Step 3: Cross multiply
    214,305.01x = 295,744.31 × 117,517.67
  4. Step 4: Simplify right side
    214,305.01x = 34,755,182,520.75
  5. Step 5: Solve for x
    x = 34,755,182,520.75/214,305.01
  6. Step 6: Final answer
    x = 162,176.25

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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.