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Finding the Fourth Proportional to 199,858.61, 275,805.65 and 109,214.62

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Solution

The fourth proportional to 199,858.61, 275,805.65 and 109,214.62 is: 150,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,858.61 : 275,805.65 = 109,214.62 : x
  2. Step 2: Convert to fraction form
    199,858.61/275,805.65 = 109,214.62/x
  3. Step 3: Cross multiply
    199,858.61x = 275,805.65 × 109,214.62
  4. Step 4: Simplify right side
    199,858.61x = 30,122,009,258.60
  5. Step 5: Solve for x
    x = 30,122,009,258.60/199,858.61
  6. Step 6: Final answer
    x = 150,716.60

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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.