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Finding the Fourth Proportional to 221,241.24, 305,313.12 and 120,639.24

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Solution

The fourth proportional to 221,241.24, 305,313.12 and 120,639.24 is: 166,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,241.24 : 305,313.12 = 120,639.24 : x
  2. Step 2: Convert to fraction form
    221,241.24/305,313.12 = 120,639.24/x
  3. Step 3: Cross multiply
    221,241.24x = 305,313.12 × 120,639.24
  4. Step 4: Simplify right side
    221,241.24x = 36,832,742,758.83
  5. Step 5: Solve for x
    x = 36,832,742,758.83/221,241.24
  6. Step 6: Final answer
    x = 166,482.27

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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.