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Finding the Fourth Proportional to 202,396.32, 303,188.40 and 185,861.52

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Solution

The fourth proportional to 202,396.32, 303,188.40 and 185,861.52 is: 278,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,396.32 : 303,188.40 = 185,861.52 : x
  2. Step 2: Convert to fraction form
    202,396.32/303,188.40 = 185,861.52/x
  3. Step 3: Cross multiply
    202,396.32x = 303,188.40 × 185,861.52
  4. Step 4: Simplify right side
    202,396.32x = 56,351,056,870.37
  5. Step 5: Solve for x
    x = 56,351,056,870.37/202,396.32
  6. Step 6: Final answer
    x = 278,419.37

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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.