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Finding the Fourth Proportional to 106,247.98, 159,262.62 and 47,111.50

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Solution

The fourth proportional to 106,247.98, 159,262.62 and 47,111.50 is: 70,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,247.98 : 159,262.62 = 47,111.50 : x
  2. Step 2: Convert to fraction form
    106,247.98/159,262.62 = 47,111.50/x
  3. Step 3: Cross multiply
    106,247.98x = 159,262.62 × 47,111.50
  4. Step 4: Simplify right side
    106,247.98x = 7,503,100,922.13
  5. Step 5: Solve for x
    x = 7,503,100,922.13/106,247.98
  6. Step 6: Final answer
    x = 70,618.76

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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.