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Finding the Fourth Proportional to 221,037.75, 305,032.10 and 120,435.75

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Solution

The fourth proportional to 221,037.75, 305,032.10 and 120,435.75 is: 166,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,037.75 : 305,032.10 = 120,435.75 : x
  2. Step 2: Convert to fraction form
    221,037.75/305,032.10 = 120,435.75/x
  3. Step 3: Cross multiply
    221,037.75x = 305,032.10 × 120,435.75
  4. Step 4: Simplify right side
    221,037.75x = 36,736,769,135.40
  5. Step 5: Solve for x
    x = 36,736,769,135.40/221,037.75
  6. Step 6: Final answer
    x = 166,201.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.