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Finding the Fourth Proportional to 100,125.36, 150,202.62 and 30,010.14

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Solution

The fourth proportional to 100,125.36, 150,202.62 and 30,010.14 is: 45,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,125.36 : 150,202.62 = 30,010.14 : x
  2. Step 2: Convert to fraction form
    100,125.36/150,202.62 = 30,010.14/x
  3. Step 3: Cross multiply
    100,125.36x = 150,202.62 × 30,010.14
  4. Step 4: Simplify right side
    100,125.36x = 4,507,601,654.57
  5. Step 5: Solve for x
    x = 4,507,601,654.57/100,125.36
  6. Step 6: Final answer
    x = 45,019.58

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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.