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Finding the Fourth Proportional to 200,537.69, 300,650.41 and 99,265.87

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Solution

The fourth proportional to 200,537.69, 300,650.41 and 99,265.87 is: 148,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.69 : 300,650.41 = 99,265.87 : x
  2. Step 2: Convert to fraction form
    200,537.69/300,650.41 = 99,265.87/x
  3. Step 3: Cross multiply
    200,537.69x = 300,650.41 × 99,265.87
  4. Step 4: Simplify right side
    200,537.69x = 29,844,324,514.51
  5. Step 5: Solve for x
    x = 29,844,324,514.51/200,537.69
  6. Step 6: Final answer
    x = 148,821.52

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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.