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Finding the Fourth Proportional to 214,129.20, 320,502.60 and 197,540.40

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Solution

The fourth proportional to 214,129.20, 320,502.60 and 197,540.40 is: 295,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,129.20 : 320,502.60 = 197,540.40 : x
  2. Step 2: Convert to fraction form
    214,129.20/320,502.60 = 197,540.40/x
  3. Step 3: Cross multiply
    214,129.20x = 320,502.60 × 197,540.40
  4. Step 4: Simplify right side
    214,129.20x = 63,312,211,805.04
  5. Step 5: Solve for x
    x = 63,312,211,805.04/214,129.20
  6. Step 6: Final answer
    x = 295,672.95

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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.