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Finding the Fourth Proportional to 102,157.44, 153,198.24 and 35,580.48

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Solution

The fourth proportional to 102,157.44, 153,198.24 and 35,580.48 is: 53,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.44 : 153,198.24 = 35,580.48 : x
  2. Step 2: Convert to fraction form
    102,157.44/153,198.24 = 35,580.48/x
  3. Step 3: Cross multiply
    102,157.44x = 153,198.24 × 35,580.48
  4. Step 4: Simplify right side
    102,157.44x = 5,450,866,914.36
  5. Step 5: Solve for x
    x = 5,450,866,914.36/102,157.44
  6. Step 6: Final answer
    x = 53,357.51

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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.