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Finding the Fourth Proportional to 199,466, 300,575.24 and 180,745.28

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Solution

The fourth proportional to 199,466, 300,575.24 and 180,745.28 is: 272,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,466 : 300,575.24 = 180,745.28 : x
  2. Step 2: Convert to fraction form
    199,466/300,575.24 = 180,745.28/x
  3. Step 3: Cross multiply
    199,466x = 300,575.24 × 180,745.28
  4. Step 4: Simplify right side
    199,466x = 54,327,555,914.87
  5. Step 5: Solve for x
    x = 54,327,555,914.87/199,466
  6. Step 6: Final answer
    x = 272,364.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.