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Finding the Fourth Proportional to 297,186.90, 445,764.68 and 97,481

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Solution

The fourth proportional to 297,186.90, 445,764.68 and 97,481 is: 146,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,186.90 : 445,764.68 = 97,481 : x
  2. Step 2: Convert to fraction form
    297,186.90/445,764.68 = 97,481/x
  3. Step 3: Cross multiply
    297,186.90x = 445,764.68 × 97,481
  4. Step 4: Simplify right side
    297,186.90x = 43,453,586,771.08
  5. Step 5: Solve for x
    x = 43,453,586,771.08/297,186.90
  6. Step 6: Final answer
    x = 146,216.36

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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.