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Finding the Fourth Proportional to 199,417.39, 275,196.84 and 108,775.31

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Solution

The fourth proportional to 199,417.39, 275,196.84 and 108,775.31 is: 150,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,417.39 : 275,196.84 = 108,775.31 : x
  2. Step 2: Convert to fraction form
    199,417.39/275,196.84 = 108,775.31/x
  3. Step 3: Cross multiply
    199,417.39x = 275,196.84 × 108,775.31
  4. Step 4: Simplify right side
    199,417.39x = 29,934,620,409.99
  5. Step 5: Solve for x
    x = 29,934,620,409.99/199,417.39
  6. Step 6: Final answer
    x = 150,110.38

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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.