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Finding the Fourth Proportional to 216,202.88, 298,340.34 and 120,692

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Solution

The fourth proportional to 216,202.88, 298,340.34 and 120,692 is: 166,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,202.88 : 298,340.34 = 120,692 : x
  2. Step 2: Convert to fraction form
    216,202.88/298,340.34 = 120,692/x
  3. Step 3: Cross multiply
    216,202.88x = 298,340.34 × 120,692
  4. Step 4: Simplify right side
    216,202.88x = 36,007,292,315.28
  5. Step 5: Solve for x
    x = 36,007,292,315.28/216,202.88
  6. Step 6: Final answer
    x = 166,544.00

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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.