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Finding the Fourth Proportional to 308,161.44, 462,195.04 and 97,772

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Solution

The fourth proportional to 308,161.44, 462,195.04 and 97,772 is: 146,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,161.44 : 462,195.04 = 97,772 : x
  2. Step 2: Convert to fraction form
    308,161.44/462,195.04 = 97,772/x
  3. Step 3: Cross multiply
    308,161.44x = 462,195.04 × 97,772
  4. Step 4: Simplify right side
    308,161.44x = 45,189,733,450.88
  5. Step 5: Solve for x
    x = 45,189,733,450.88/308,161.44
  6. Step 6: Final answer
    x = 146,643.05

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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.