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Finding the Fourth Proportional to 221,242.24, 305,314.50 and 120,640.24

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Solution

The fourth proportional to 221,242.24, 305,314.50 and 120,640.24 is: 166,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,242.24 : 305,314.50 = 120,640.24 : x
  2. Step 2: Convert to fraction form
    221,242.24/305,314.50 = 120,640.24/x
  3. Step 3: Cross multiply
    221,242.24x = 305,314.50 × 120,640.24
  4. Step 4: Simplify right side
    221,242.24x = 36,833,214,555.48
  5. Step 5: Solve for x
    x = 36,833,214,555.48/221,242.24
  6. Step 6: Final answer
    x = 166,483.65

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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.