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Finding the Fourth Proportional to 120,993, 166,970.34 and 68,001

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Solution

The fourth proportional to 120,993, 166,970.34 and 68,001 is: 93,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993 : 166,970.34 = 68,001 : x
  2. Step 2: Convert to fraction form
    120,993/166,970.34 = 68,001/x
  3. Step 3: Cross multiply
    120,993x = 166,970.34 × 68,001
  4. Step 4: Simplify right side
    120,993x = 11,354,150,090.34
  5. Step 5: Solve for x
    x = 11,354,150,090.34/120,993
  6. Step 6: Final answer
    x = 93,841.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.