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Finding the Fourth Proportional to 308,874.71, 463,611.66 and 149,063.12

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Solution

The fourth proportional to 308,874.71, 463,611.66 and 149,063.12 is: 223,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,874.71 : 463,611.66 = 149,063.12 : x
  2. Step 2: Convert to fraction form
    308,874.71/463,611.66 = 149,063.12/x
  3. Step 3: Cross multiply
    308,874.71x = 463,611.66 × 149,063.12
  4. Step 4: Simplify right side
    308,874.71x = 69,107,399,762.66
  5. Step 5: Solve for x
    x = 69,107,399,762.66/308,874.71
  6. Step 6: Final answer
    x = 223,739.27

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Why These Related Problems?

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