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Finding the Fourth Proportional to 101,202.80, 151,804.20 and 35,538.80

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Solution

The fourth proportional to 101,202.80, 151,804.20 and 35,538.80 is: 53,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,202.80 : 151,804.20 = 35,538.80 : x
  2. Step 2: Convert to fraction form
    101,202.80/151,804.20 = 35,538.80/x
  3. Step 3: Cross multiply
    101,202.80x = 151,804.20 × 35,538.80
  4. Step 4: Simplify right side
    101,202.80x = 5,394,939,102.96
  5. Step 5: Solve for x
    x = 5,394,939,102.96/101,202.80
  6. Step 6: Final answer
    x = 53,308.20

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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.