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Finding the Fourth Proportional to 200,623.44, 301,405.26 and 189,274.70

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Solution

The fourth proportional to 200,623.44, 301,405.26 and 189,274.70 is: 284,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,623.44 : 301,405.26 = 189,274.70 : x
  2. Step 2: Convert to fraction form
    200,623.44/301,405.26 = 189,274.70/x
  3. Step 3: Cross multiply
    200,623.44x = 301,405.26 × 189,274.70
  4. Step 4: Simplify right side
    200,623.44x = 57,048,390,164.92
  5. Step 5: Solve for x
    x = 57,048,390,164.92/200,623.44
  6. Step 6: Final answer
    x = 284,355.56

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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.