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Finding the Fourth Proportional to 306,218.64, 459,338.22 and 106,555.80

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Solution

The fourth proportional to 306,218.64, 459,338.22 and 106,555.80 is: 159,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,218.64 : 459,338.22 = 106,555.80 : x
  2. Step 2: Convert to fraction form
    306,218.64/459,338.22 = 106,555.80/x
  3. Step 3: Cross multiply
    306,218.64x = 459,338.22 × 106,555.80
  4. Step 4: Simplify right side
    306,218.64x = 48,945,151,502.68
  5. Step 5: Solve for x
    x = 48,945,151,502.68/306,218.64
  6. Step 6: Final answer
    x = 159,837.27

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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.