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Finding the Fourth Proportional to 275,825.34, 412,967.18 and 149,011.27

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Solution

The fourth proportional to 275,825.34, 412,967.18 and 149,011.27 is: 223,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,825.34 : 412,967.18 = 149,011.27 : x
  2. Step 2: Convert to fraction form
    275,825.34/412,967.18 = 149,011.27/x
  3. Step 3: Cross multiply
    275,825.34x = 412,967.18 × 149,011.27
  4. Step 4: Simplify right side
    275,825.34x = 61,536,763,300.23
  5. Step 5: Solve for x
    x = 61,536,763,300.23/275,825.34
  6. Step 6: Final answer
    x = 223,100.47

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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.