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Finding the Fourth Proportional to 306,105.14, 459,156.99 and 81,465.50

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Solution

The fourth proportional to 306,105.14, 459,156.99 and 81,465.50 is: 122,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,105.14 : 459,156.99 = 81,465.50 : x
  2. Step 2: Convert to fraction form
    306,105.14/459,156.99 = 81,465.50/x
  3. Step 3: Cross multiply
    306,105.14x = 459,156.99 × 81,465.50
  4. Step 4: Simplify right side
    306,105.14x = 37,405,453,768.85
  5. Step 5: Solve for x
    x = 37,405,453,768.85/306,105.14
  6. Step 6: Final answer
    x = 122,198.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.