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Finding the Fourth Proportional to 131,175.75, 196,796.84 and 37,681.50

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Solution

The fourth proportional to 131,175.75, 196,796.84 and 37,681.50 is: 56,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,175.75 : 196,796.84 = 37,681.50 : x
  2. Step 2: Convert to fraction form
    131,175.75/196,796.84 = 37,681.50/x
  3. Step 3: Cross multiply
    131,175.75x = 196,796.84 × 37,681.50
  4. Step 4: Simplify right side
    131,175.75x = 7,415,599,938.05
  5. Step 5: Solve for x
    x = 7,415,599,938.05/131,175.75
  6. Step 6: Final answer
    x = 56,531.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.