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Finding the Fourth Proportional to 106,322.20, 159,556.20 and 47,200.30

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Solution

The fourth proportional to 106,322.20, 159,556.20 and 47,200.30 is: 70,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.20 : 159,556.20 = 47,200.30 : x
  2. Step 2: Convert to fraction form
    106,322.20/159,556.20 = 47,200.30/x
  3. Step 3: Cross multiply
    106,322.20x = 159,556.20 × 47,200.30
  4. Step 4: Simplify right side
    106,322.20x = 7,531,100,506.86
  5. Step 5: Solve for x
    x = 7,531,100,506.86/106,322.20
  6. Step 6: Final answer
    x = 70,832.81

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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.