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Finding the Fourth Proportional to 298,859.96, 448,396.50 and 149,087

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Solution

The fourth proportional to 298,859.96, 448,396.50 and 149,087 is: 223,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,859.96 : 448,396.50 = 149,087 : x
  2. Step 2: Convert to fraction form
    298,859.96/448,396.50 = 149,087/x
  3. Step 3: Cross multiply
    298,859.96x = 448,396.50 × 149,087
  4. Step 4: Simplify right side
    298,859.96x = 66,850,088,995.50
  5. Step 5: Solve for x
    x = 66,850,088,995.50/298,859.96
  6. Step 6: Final answer
    x = 223,683.66

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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.