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Finding the Fourth Proportional to 302,919.67, 418,023.71 and 165,099.84

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Solution

The fourth proportional to 302,919.67, 418,023.71 and 165,099.84 is: 227,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,919.67 : 418,023.71 = 165,099.84 : x
  2. Step 2: Convert to fraction form
    302,919.67/418,023.71 = 165,099.84/x
  3. Step 3: Cross multiply
    302,919.67x = 418,023.71 × 165,099.84
  4. Step 4: Simplify right side
    302,919.67x = 69,015,645,863.24
  5. Step 5: Solve for x
    x = 69,015,645,863.24/302,919.67
  6. Step 6: Final answer
    x = 227,834.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.