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Finding the Fourth Proportional to 471,162.75, 706,735.91 and 134,206.20

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Solution

The fourth proportional to 471,162.75, 706,735.91 and 134,206.20 is: 201,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,162.75 : 706,735.91 = 134,206.20 : x
  2. Step 2: Convert to fraction form
    471,162.75/706,735.91 = 134,206.20/x
  3. Step 3: Cross multiply
    471,162.75x = 706,735.91 × 134,206.20
  4. Step 4: Simplify right side
    471,162.75x = 94,848,340,213.61
  5. Step 5: Solve for x
    x = 94,848,340,213.61/471,162.75
  6. Step 6: Final answer
    x = 201,306.96

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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.