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Finding the Fourth Proportional to 193,467.70, 290,201.55 and 53,226.10

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Solution

The fourth proportional to 193,467.70, 290,201.55 and 53,226.10 is: 79,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,467.70 : 290,201.55 = 53,226.10 : x
  2. Step 2: Convert to fraction form
    193,467.70/290,201.55 = 53,226.10/x
  3. Step 3: Cross multiply
    193,467.70x = 290,201.55 × 53,226.10
  4. Step 4: Simplify right side
    193,467.70x = 15,446,296,720.46
  5. Step 5: Solve for x
    x = 15,446,296,720.46/193,467.70
  6. Step 6: Final answer
    x = 79,839.15

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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.