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Finding the Fourth Proportional to 196,968, 295,452.36 and 49,224

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Solution

The fourth proportional to 196,968, 295,452.36 and 49,224 is: 73,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968 : 295,452.36 = 49,224 : x
  2. Step 2: Convert to fraction form
    196,968/295,452.36 = 49,224/x
  3. Step 3: Cross multiply
    196,968x = 295,452.36 × 49,224
  4. Step 4: Simplify right side
    196,968x = 14,543,346,968.64
  5. Step 5: Solve for x
    x = 14,543,346,968.64/196,968
  6. Step 6: Final answer
    x = 73,836.09

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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.