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Finding the Fourth Proportional to 216,427.28, 298,671.12 and 120,938

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Solution

The fourth proportional to 216,427.28, 298,671.12 and 120,938 is: 166,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,427.28 : 298,671.12 = 120,938 : x
  2. Step 2: Convert to fraction form
    216,427.28/298,671.12 = 120,938/x
  3. Step 3: Cross multiply
    216,427.28x = 298,671.12 × 120,938
  4. Step 4: Simplify right side
    216,427.28x = 36,120,687,910.56
  5. Step 5: Solve for x
    x = 36,120,687,910.56/216,427.28
  6. Step 6: Final answer
    x = 166,895.26

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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.