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Finding the Fourth Proportional to 297,153.94, 445,796.53 and 110,165.44

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Solution

The fourth proportional to 297,153.94, 445,796.53 and 110,165.44 is: 165,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,153.94 : 445,796.53 = 110,165.44 : x
  2. Step 2: Convert to fraction form
    297,153.94/445,796.53 = 110,165.44/x
  3. Step 3: Cross multiply
    297,153.94x = 445,796.53 × 110,165.44
  4. Step 4: Simplify right side
    297,153.94x = 49,111,370,877.92
  5. Step 5: Solve for x
    x = 49,111,370,877.92/297,153.94
  6. Step 6: Final answer
    x = 165,272.49

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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.