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Finding the Fourth Proportional to 306,039.64, 459,022.89 and 81,416.50

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Solution

The fourth proportional to 306,039.64, 459,022.89 and 81,416.50 is: 122,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,039.64 : 459,022.89 = 81,416.50 : x
  2. Step 2: Convert to fraction form
    306,039.64/459,022.89 = 81,416.50/x
  3. Step 3: Cross multiply
    306,039.64x = 459,022.89 × 81,416.50
  4. Step 4: Simplify right side
    306,039.64x = 37,372,037,123.69
  5. Step 5: Solve for x
    x = 37,372,037,123.69/306,039.64
  6. Step 6: Final answer
    x = 122,115.02

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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.