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Finding the Fourth Proportional to 194,507.80, 289,716.11 and 185,407

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Solution

The fourth proportional to 194,507.80, 289,716.11 and 185,407 is: 276,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,507.80 : 289,716.11 = 185,407 : x
  2. Step 2: Convert to fraction form
    194,507.80/289,716.11 = 185,407/x
  3. Step 3: Cross multiply
    194,507.80x = 289,716.11 × 185,407
  4. Step 4: Simplify right side
    194,507.80x = 53,715,394,806.77
  5. Step 5: Solve for x
    x = 53,715,394,806.77/194,507.80
  6. Step 6: Final answer
    x = 276,160.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.