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Finding the Fourth Proportional to 199,903.36, 275,859.14 and 109,258.60

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Solution

The fourth proportional to 199,903.36, 275,859.14 and 109,258.60 is: 150,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,903.36 : 275,859.14 = 109,258.60 : x
  2. Step 2: Convert to fraction form
    199,903.36/275,859.14 = 109,258.60/x
  3. Step 3: Cross multiply
    199,903.36x = 275,859.14 × 109,258.60
  4. Step 4: Simplify right side
    199,903.36x = 30,139,982,054.31
  5. Step 5: Solve for x
    x = 30,139,982,054.31/199,903.36
  6. Step 6: Final answer
    x = 150,772.77

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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.