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Finding the Fourth Proportional to 221,540.04, 305,723.64 and 120,938.04

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Solution

The fourth proportional to 221,540.04, 305,723.64 and 120,938.04 is: 166,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540.04 : 305,723.64 = 120,938.04 : x
  2. Step 2: Convert to fraction form
    221,540.04/305,723.64 = 120,938.04/x
  3. Step 3: Cross multiply
    221,540.04x = 305,723.64 × 120,938.04
  4. Step 4: Simplify right side
    221,540.04x = 36,973,617,803.27
  5. Step 5: Solve for x
    x = 36,973,617,803.27/221,540.04
  6. Step 6: Final answer
    x = 166,893.61

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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.