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Finding the Fourth Proportional to 297,153.44, 445,795.78 and 110,164.94

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Solution

The fourth proportional to 297,153.44, 445,795.78 and 110,164.94 is: 165,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,153.44 : 445,795.78 = 110,164.94 : x
  2. Step 2: Convert to fraction form
    297,153.44/445,795.78 = 110,164.94/x
  3. Step 3: Cross multiply
    297,153.44x = 445,795.78 × 110,164.94
  4. Step 4: Simplify right side
    297,153.44x = 49,111,065,355.95
  5. Step 5: Solve for x
    x = 49,111,065,355.95/297,153.44
  6. Step 6: Final answer
    x = 165,271.74

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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.