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Finding the Fourth Proportional to 199,784.44, 299,576.34 and 66,617.56

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Solution

The fourth proportional to 199,784.44, 299,576.34 and 66,617.56 is: 99,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,784.44 : 299,576.34 = 66,617.56 : x
  2. Step 2: Convert to fraction form
    199,784.44/299,576.34 = 66,617.56/x
  3. Step 3: Cross multiply
    199,784.44x = 299,576.34 × 66,617.56
  4. Step 4: Simplify right side
    199,784.44x = 19,957,044,804.53
  5. Step 5: Solve for x
    x = 19,957,044,804.53/199,784.44
  6. Step 6: Final answer
    x = 99,892.89

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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.