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Finding the Fourth Proportional to 214,604.22, 321,913.08 and 102,296.64

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Solution

The fourth proportional to 214,604.22, 321,913.08 and 102,296.64 is: 153,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,604.22 : 321,913.08 = 102,296.64 : x
  2. Step 2: Convert to fraction form
    214,604.22/321,913.08 = 102,296.64/x
  3. Step 3: Cross multiply
    214,604.22x = 321,913.08 × 102,296.64
  4. Step 4: Simplify right side
    214,604.22x = 32,930,626,456.05
  5. Step 5: Solve for x
    x = 32,930,626,456.05/214,604.22
  6. Step 6: Final answer
    x = 153,448.18

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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.