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Finding the Fourth Proportional to 214,201.20, 321,301.80 and 206,036.40

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Solution

The fourth proportional to 214,201.20, 321,301.80 and 206,036.40 is: 309,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,201.20 : 321,301.80 = 206,036.40 : x
  2. Step 2: Convert to fraction form
    214,201.20/321,301.80 = 206,036.40/x
  3. Step 3: Cross multiply
    214,201.20x = 321,301.80 × 206,036.40
  4. Step 4: Simplify right side
    214,201.20x = 66,199,866,185.52
  5. Step 5: Solve for x
    x = 66,199,866,185.52/214,201.20
  6. Step 6: Final answer
    x = 309,054.60

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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.