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Finding the Fourth Proportional to 297,181.90, 445,757.19 and 97,476

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Solution

The fourth proportional to 297,181.90, 445,757.19 and 97,476 is: 146,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,181.90 : 445,757.19 = 97,476 : x
  2. Step 2: Convert to fraction form
    297,181.90/445,757.19 = 97,476/x
  3. Step 3: Cross multiply
    297,181.90x = 445,757.19 × 97,476
  4. Step 4: Simplify right side
    297,181.90x = 43,450,627,852.44
  5. Step 5: Solve for x
    x = 43,450,627,852.44/297,181.90
  6. Step 6: Final answer
    x = 146,208.86

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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.