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Finding the Fourth Proportional to 164,129.49, 246,189.38 and 68,057.01

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Solution

The fourth proportional to 164,129.49, 246,189.38 and 68,057.01 is: 102,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,129.49 : 246,189.38 = 68,057.01 : x
  2. Step 2: Convert to fraction form
    164,129.49/246,189.38 = 68,057.01/x
  3. Step 3: Cross multiply
    164,129.49x = 246,189.38 × 68,057.01
  4. Step 4: Simplify right side
    164,129.49x = 16,754,912,756.27
  5. Step 5: Solve for x
    x = 16,754,912,756.27/164,129.49
  6. Step 6: Final answer
    x = 102,083.50

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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.