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Finding the Fourth Proportional to 200,437.44, 276,789.60 and 150,048.96

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Solution

The fourth proportional to 200,437.44, 276,789.60 and 150,048.96 is: 207,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,437.44 : 276,789.60 = 150,048.96 : x
  2. Step 2: Convert to fraction form
    200,437.44/276,789.60 = 150,048.96/x
  3. Step 3: Cross multiply
    200,437.44x = 276,789.60 × 150,048.96
  4. Step 4: Simplify right side
    200,437.44x = 41,531,991,618.82
  5. Step 5: Solve for x
    x = 41,531,991,618.82/200,437.44
  6. Step 6: Final answer
    x = 207,206.76

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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.