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Finding the Fourth Proportional to 199,697.94, 275,618.77 and 118,022.87

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Solution

The fourth proportional to 199,697.94, 275,618.77 and 118,022.87 is: 162,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,697.94 : 275,618.77 = 118,022.87 : x
  2. Step 2: Convert to fraction form
    199,697.94/275,618.77 = 118,022.87/x
  3. Step 3: Cross multiply
    199,697.94x = 275,618.77 × 118,022.87
  4. Step 4: Simplify right side
    199,697.94x = 32,529,318,655.26
  5. Step 5: Solve for x
    x = 32,529,318,655.26/199,697.94
  6. Step 6: Final answer
    x = 162,892.61

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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.