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Finding the Fourth Proportional to 137,896.40, 206,844.60 and 123,024.80

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Solution

The fourth proportional to 137,896.40, 206,844.60 and 123,024.80 is: 184,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,896.40 : 206,844.60 = 123,024.80 : x
  2. Step 2: Convert to fraction form
    137,896.40/206,844.60 = 123,024.80/x
  3. Step 3: Cross multiply
    137,896.40x = 206,844.60 × 123,024.80
  4. Step 4: Simplify right side
    137,896.40x = 25,447,015,546.08
  5. Step 5: Solve for x
    x = 25,447,015,546.08/137,896.40
  6. Step 6: Final answer
    x = 184,537.20

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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.