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Finding the Fourth Proportional to 206,441.25, 309,713.91 and 58,697.25

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Solution

The fourth proportional to 206,441.25, 309,713.91 and 58,697.25 is: 88,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,441.25 : 309,713.91 = 58,697.25 : x
  2. Step 2: Convert to fraction form
    206,441.25/309,713.91 = 58,697.25/x
  3. Step 3: Cross multiply
    206,441.25x = 309,713.91 × 58,697.25
  4. Step 4: Simplify right side
    206,441.25x = 18,179,354,803.75
  5. Step 5: Solve for x
    x = 18,179,354,803.75/206,441.25
  6. Step 6: Final answer
    x = 88,060.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.