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Finding the Fourth Proportional to 214,926.20, 322,389.30 and 214,926.20

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Solution

The fourth proportional to 214,926.20, 322,389.30 and 214,926.20 is: 322,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,926.20 : 322,389.30 = 214,926.20 : x
  2. Step 2: Convert to fraction form
    214,926.20/322,389.30 = 214,926.20/x
  3. Step 3: Cross multiply
    214,926.20x = 322,389.30 × 214,926.20
  4. Step 4: Simplify right side
    214,926.20x = 69,289,907,169.66
  5. Step 5: Solve for x
    x = 69,289,907,169.66/214,926.20
  6. Step 6: Final answer
    x = 322,389.30

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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.