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Finding the Fourth Proportional to 130,717, 196,104.66 and 47,611

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Solution

The fourth proportional to 130,717, 196,104.66 and 47,611 is: 71,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,717 : 196,104.66 = 47,611 : x
  2. Step 2: Convert to fraction form
    130,717/196,104.66 = 47,611/x
  3. Step 3: Cross multiply
    130,717x = 196,104.66 × 47,611
  4. Step 4: Simplify right side
    130,717x = 9,336,738,967.26
  5. Step 5: Solve for x
    x = 9,336,738,967.26/130,717
  6. Step 6: Final answer
    x = 71,427.12

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