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Finding the Fourth Proportional to 131,104.54, 196,686 and 37,603

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Solution

The fourth proportional to 131,104.54, 196,686 and 37,603 is: 56,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,104.54 : 196,686 = 37,603 : x
  2. Step 2: Convert to fraction form
    131,104.54/196,686 = 37,603/x
  3. Step 3: Cross multiply
    131,104.54x = 196,686 × 37,603
  4. Step 4: Simplify right side
    131,104.54x = 7,395,983,658
  5. Step 5: Solve for x
    x = 7,395,983,658/131,104.54
  6. Step 6: Final answer
    x = 56,412.87

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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.