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Finding the Fourth Proportional to 306,744.86, 459,903.83 and 135,873.81

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Solution

The fourth proportional to 306,744.86, 459,903.83 and 135,873.81 is: 203,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,744.86 : 459,903.83 = 135,873.81 : x
  2. Step 2: Convert to fraction form
    306,744.86/459,903.83 = 135,873.81/x
  3. Step 3: Cross multiply
    306,744.86x = 459,903.83 × 135,873.81
  4. Step 4: Simplify right side
    306,744.86x = 62,488,885,615.69
  5. Step 5: Solve for x
    x = 62,488,885,615.69/306,744.86
  6. Step 6: Final answer
    x = 203,716.16

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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.