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Finding the Fourth Proportional to 204,191.85, 306,302.37 and 54,431.36

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Solution

The fourth proportional to 204,191.85, 306,302.37 and 54,431.36 is: 81,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,191.85 : 306,302.37 = 54,431.36 : x
  2. Step 2: Convert to fraction form
    204,191.85/306,302.37 = 54,431.36/x
  3. Step 3: Cross multiply
    204,191.85x = 306,302.37 × 54,431.36
  4. Step 4: Simplify right side
    204,191.85x = 16,672,453,038.81
  5. Step 5: Solve for x
    x = 16,672,453,038.81/204,191.85
  6. Step 6: Final answer
    x = 81,650.92

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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.