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Finding the Fourth Proportional to 148,296.12, 222,398.16 and 53,514.03

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Solution

The fourth proportional to 148,296.12, 222,398.16 and 53,514.03 is: 80,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,296.12 : 222,398.16 = 53,514.03 : x
  2. Step 2: Convert to fraction form
    148,296.12/222,398.16 = 53,514.03/x
  3. Step 3: Cross multiply
    148,296.12x = 222,398.16 × 53,514.03
  4. Step 4: Simplify right side
    148,296.12x = 11,901,422,439.50
  5. Step 5: Solve for x
    x = 11,901,422,439.50/148,296.12
  6. Step 6: Final answer
    x = 80,254.44

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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.