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Finding the Fourth Proportional to 199,200.96, 275,165.64 and 185,029.20

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Solution

The fourth proportional to 199,200.96, 275,165.64 and 185,029.20 is: 255,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,200.96 : 275,165.64 = 185,029.20 : x
  2. Step 2: Convert to fraction form
    199,200.96/275,165.64 = 185,029.20/x
  3. Step 3: Cross multiply
    199,200.96x = 275,165.64 × 185,029.20
  4. Step 4: Simplify right side
    199,200.96x = 50,913,678,236.69
  5. Step 5: Solve for x
    x = 50,913,678,236.69/199,200.96
  6. Step 6: Final answer
    x = 255,589.52

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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.