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Finding the Fourth Proportional to 131,147.84, 196,720.48 and 37,653.44

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Solution

The fourth proportional to 131,147.84, 196,720.48 and 37,653.44 is: 56,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,147.84 : 196,720.48 = 37,653.44 : x
  2. Step 2: Convert to fraction form
    131,147.84/196,720.48 = 37,653.44/x
  3. Step 3: Cross multiply
    131,147.84x = 196,720.48 × 37,653.44
  4. Step 4: Simplify right side
    131,147.84x = 7,407,202,790.45
  5. Step 5: Solve for x
    x = 7,407,202,790.45/131,147.84
  6. Step 6: Final answer
    x = 56,479.79

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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.