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Finding the Fourth Proportional to 120,476.46, 180,713.39 and 49,383.25

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Solution

The fourth proportional to 120,476.46, 180,713.39 and 49,383.25 is: 74,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,476.46 : 180,713.39 = 49,383.25 : x
  2. Step 2: Convert to fraction form
    120,476.46/180,713.39 = 49,383.25/x
  3. Step 3: Cross multiply
    120,476.46x = 180,713.39 × 49,383.25
  4. Step 4: Simplify right side
    120,476.46x = 8,924,215,112.31
  5. Step 5: Solve for x
    x = 8,924,215,112.31/120,476.46
  6. Step 6: Final answer
    x = 74,074.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.