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Finding the Fourth Proportional to 306,824.60, 460,225.96 and 107,144.21

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Solution

The fourth proportional to 306,824.60, 460,225.96 and 107,144.21 is: 160,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824.60 : 460,225.96 = 107,144.21 : x
  2. Step 2: Convert to fraction form
    306,824.60/460,225.96 = 107,144.21/x
  3. Step 3: Cross multiply
    306,824.60x = 460,225.96 × 107,144.21
  4. Step 4: Simplify right side
    306,824.60x = 49,310,544,604.56
  5. Step 5: Solve for x
    x = 49,310,544,604.56/306,824.60
  6. Step 6: Final answer
    x = 160,712.49

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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.