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Finding the Fourth Proportional to 199,516.37, 299,324.68 and 57,361.91

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Solution

The fourth proportional to 199,516.37, 299,324.68 and 57,361.91 is: 86,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,516.37 : 299,324.68 = 57,361.91 : x
  2. Step 2: Convert to fraction form
    199,516.37/299,324.68 = 57,361.91/x
  3. Step 3: Cross multiply
    199,516.37x = 299,324.68 × 57,361.91
  4. Step 4: Simplify right side
    199,516.37x = 17,169,833,714.91
  5. Step 5: Solve for x
    x = 17,169,833,714.91/199,516.37
  6. Step 6: Final answer
    x = 86,057.27

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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.