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Finding the Fourth Proportional to 196,911, 295,366.50 and 49,167

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Solution

The fourth proportional to 196,911, 295,366.50 and 49,167 is: 73,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,911 : 295,366.50 = 49,167 : x
  2. Step 2: Convert to fraction form
    196,911/295,366.50 = 49,167/x
  3. Step 3: Cross multiply
    196,911x = 295,366.50 × 49,167
  4. Step 4: Simplify right side
    196,911x = 14,522,284,705.50
  5. Step 5: Solve for x
    x = 14,522,284,705.50/196,911
  6. Step 6: Final answer
    x = 73,750.50

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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.