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Finding the Fourth Proportional to 198,241.89, 273,574.11 and 107,597.89

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Solution

The fourth proportional to 198,241.89, 273,574.11 and 107,597.89 is: 148,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,241.89 : 273,574.11 = 107,597.89 : x
  2. Step 2: Convert to fraction form
    198,241.89/273,574.11 = 107,597.89/x
  3. Step 3: Cross multiply
    198,241.89x = 273,574.11 × 107,597.89
  4. Step 4: Simplify right side
    198,241.89x = 29,435,996,533.54
  5. Step 5: Solve for x
    x = 29,435,996,533.54/198,241.89
  6. Step 6: Final answer
    x = 148,485.25

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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.