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Finding the Fourth Proportional to 150,862.25, 227,353.12 and 135,888.16

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Solution

The fourth proportional to 150,862.25, 227,353.12 and 135,888.16 is: 204,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862.25 : 227,353.12 = 135,888.16 : x
  2. Step 2: Convert to fraction form
    150,862.25/227,353.12 = 135,888.16/x
  3. Step 3: Cross multiply
    150,862.25x = 227,353.12 × 135,888.16
  4. Step 4: Simplify right side
    150,862.25x = 30,894,597,147.06
  5. Step 5: Solve for x
    x = 30,894,597,147.06/150,862.25
  6. Step 6: Final answer
    x = 204,786.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.