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Finding the Fourth Proportional to 501,076.80, 751,721.55 and 164,092.56

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Solution

The fourth proportional to 501,076.80, 751,721.55 and 164,092.56 is: 246,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,076.80 : 751,721.55 = 164,092.56 : x
  2. Step 2: Convert to fraction form
    501,076.80/751,721.55 = 164,092.56/x
  3. Step 3: Cross multiply
    501,076.80x = 751,721.55 × 164,092.56
  4. Step 4: Simplify right side
    501,076.80x = 123,351,913,546.67
  5. Step 5: Solve for x
    x = 123,351,913,546.67/501,076.80
  6. Step 6: Final answer
    x = 246,173.67

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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.