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Finding the Fourth Proportional to 90,207.34, 135,296.31 and 30,262.34

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Solution

The fourth proportional to 90,207.34, 135,296.31 and 30,262.34 is: 45,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,207.34 : 135,296.31 = 30,262.34 : x
  2. Step 2: Convert to fraction form
    90,207.34/135,296.31 = 30,262.34/x
  3. Step 3: Cross multiply
    90,207.34x = 135,296.31 × 30,262.34
  4. Step 4: Simplify right side
    90,207.34x = 4,094,382,782.65
  5. Step 5: Solve for x
    x = 4,094,382,782.65/90,207.34
  6. Step 6: Final answer
    x = 45,388.58

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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.