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Finding the Fourth Proportional to 204,524.53, 306,807.74 and 78,270.98

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Solution

The fourth proportional to 204,524.53, 306,807.74 and 78,270.98 is: 117,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,524.53 : 306,807.74 = 78,270.98 : x
  2. Step 2: Convert to fraction form
    204,524.53/306,807.74 = 78,270.98/x
  3. Step 3: Cross multiply
    204,524.53x = 306,807.74 × 78,270.98
  4. Step 4: Simplify right side
    204,524.53x = 24,014,140,849.51
  5. Step 5: Solve for x
    x = 24,014,140,849.51/204,524.53
  6. Step 6: Final answer
    x = 117,414.48

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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.