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Finding the Fourth Proportional to 90,105.14, 135,143.52 and 30,133.16

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Solution

The fourth proportional to 90,105.14, 135,143.52 and 30,133.16 is: 45,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,105.14 : 135,143.52 = 30,133.16 : x
  2. Step 2: Convert to fraction form
    90,105.14/135,143.52 = 30,133.16/x
  3. Step 3: Cross multiply
    90,105.14x = 135,143.52 × 30,133.16
  4. Step 4: Simplify right side
    90,105.14x = 4,072,301,311.12
  5. Step 5: Solve for x
    x = 4,072,301,311.12/90,105.14
  6. Step 6: Final answer
    x = 45,194.99

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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.