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Finding the Fourth Proportional to 199,752.96, 275,646.87 and 109,090.56

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Solution

The fourth proportional to 199,752.96, 275,646.87 and 109,090.56 is: 150,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,752.96 : 275,646.87 = 109,090.56 : x
  2. Step 2: Convert to fraction form
    199,752.96/275,646.87 = 109,090.56/x
  3. Step 3: Cross multiply
    199,752.96x = 275,646.87 × 109,090.56
  4. Step 4: Simplify right side
    199,752.96x = 30,070,471,410.55
  5. Step 5: Solve for x
    x = 30,070,471,410.55/199,752.96
  6. Step 6: Final answer
    x = 150,538.30

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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.