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Finding the Fourth Proportional to 492,097.98, 738,147 and 118,120.98

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Solution

The fourth proportional to 492,097.98, 738,147 and 118,120.98 is: 177,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.98 : 738,147 = 118,120.98 : x
  2. Step 2: Convert to fraction form
    492,097.98/738,147 = 118,120.98/x
  3. Step 3: Cross multiply
    492,097.98x = 738,147 × 118,120.98
  4. Step 4: Simplify right side
    492,097.98x = 87,190,647,024.06
  5. Step 5: Solve for x
    x = 87,190,647,024.06/492,097.98
  6. Step 6: Final answer
    x = 177,181.48

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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.