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Finding the Fourth Proportional to 203,898.60, 305,847.90 and 194,057.10

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Solution

The fourth proportional to 203,898.60, 305,847.90 and 194,057.10 is: 291,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,898.60 : 305,847.90 = 194,057.10 : x
  2. Step 2: Convert to fraction form
    203,898.60/305,847.90 = 194,057.10/x
  3. Step 3: Cross multiply
    203,898.60x = 305,847.90 × 194,057.10
  4. Step 4: Simplify right side
    203,898.60x = 59,351,956,515.09
  5. Step 5: Solve for x
    x = 59,351,956,515.09/203,898.60
  6. Step 6: Final answer
    x = 291,085.65

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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.