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Finding the Fourth Proportional to 164,812.34, 246,964.06 and 111,294.59

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Solution

The fourth proportional to 164,812.34, 246,964.06 and 111,294.59 is: 166,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,812.34 : 246,964.06 = 111,294.59 : x
  2. Step 2: Convert to fraction form
    164,812.34/246,964.06 = 111,294.59/x
  3. Step 3: Cross multiply
    164,812.34x = 246,964.06 × 111,294.59
  4. Step 4: Simplify right side
    164,812.34x = 27,485,763,802.44
  5. Step 5: Solve for x
    x = 27,485,763,802.44/164,812.34
  6. Step 6: Final answer
    x = 166,770.06

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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.