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Finding the Fourth Proportional to 137,002.26, 205,503.78 and 53,896.26

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Solution

The fourth proportional to 137,002.26, 205,503.78 and 53,896.26 is: 80,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,002.26 : 205,503.78 = 53,896.26 : x
  2. Step 2: Convert to fraction form
    137,002.26/205,503.78 = 53,896.26/x
  3. Step 3: Cross multiply
    137,002.26x = 205,503.78 × 53,896.26
  4. Step 4: Simplify right side
    137,002.26x = 11,075,885,157.86
  5. Step 5: Solve for x
    x = 11,075,885,157.86/137,002.26
  6. Step 6: Final answer
    x = 80,844.54

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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.