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Finding the Fourth Proportional to 164,090.54, 246,141.22 and 45,751.88

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Solution

The fourth proportional to 164,090.54, 246,141.22 and 45,751.88 is: 68,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,090.54 : 246,141.22 = 45,751.88 : x
  2. Step 2: Convert to fraction form
    164,090.54/246,141.22 = 45,751.88/x
  3. Step 3: Cross multiply
    164,090.54x = 246,141.22 × 45,751.88
  4. Step 4: Simplify right side
    164,090.54x = 11,261,423,560.49
  5. Step 5: Solve for x
    x = 11,261,423,560.49/164,090.54
  6. Step 6: Final answer
    x = 68,629.33

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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.