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Finding the Fourth Proportional to 204,153.96, 306,237.82 and 156,840.96

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Solution

The fourth proportional to 204,153.96, 306,237.82 and 156,840.96 is: 235,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,153.96 : 306,237.82 = 156,840.96 : x
  2. Step 2: Convert to fraction form
    204,153.96/306,237.82 = 156,840.96/x
  3. Step 3: Cross multiply
    204,153.96x = 306,237.82 × 156,840.96
  4. Step 4: Simplify right side
    204,153.96x = 48,030,633,677.11
  5. Step 5: Solve for x
    x = 48,030,633,677.11/204,153.96
  6. Step 6: Final answer
    x = 235,266.73

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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.