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Finding the Fourth Proportional to 204,551.40, 306,827.10 and 181,806.60

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Solution

The fourth proportional to 204,551.40, 306,827.10 and 181,806.60 is: 272,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,551.40 : 306,827.10 = 181,806.60 : x
  2. Step 2: Convert to fraction form
    204,551.40/306,827.10 = 181,806.60/x
  3. Step 3: Cross multiply
    204,551.40x = 306,827.10 × 181,806.60
  4. Step 4: Simplify right side
    204,551.40x = 55,783,191,838.86
  5. Step 5: Solve for x
    x = 55,783,191,838.86/204,551.40
  6. Step 6: Final answer
    x = 272,709.90

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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.