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Finding the Fourth Proportional to 204,494.50, 306,741.78 and 93,686.50

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Solution

The fourth proportional to 204,494.50, 306,741.78 and 93,686.50 is: 140,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.50 : 306,741.78 = 93,686.50 : x
  2. Step 2: Convert to fraction form
    204,494.50/306,741.78 = 93,686.50/x
  3. Step 3: Cross multiply
    204,494.50x = 306,741.78 × 93,686.50
  4. Step 4: Simplify right side
    204,494.50x = 28,737,563,771.97
  5. Step 5: Solve for x
    x = 28,737,563,771.97/204,494.50
  6. Step 6: Final answer
    x = 140,529.76

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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.