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Finding the Fourth Proportional to 262,571.02, 393,914.85 and 75,567.94

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Solution

The fourth proportional to 262,571.02, 393,914.85 and 75,567.94 is: 113,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,571.02 : 393,914.85 = 75,567.94 : x
  2. Step 2: Convert to fraction form
    262,571.02/393,914.85 = 75,567.94/x
  3. Step 3: Cross multiply
    262,571.02x = 393,914.85 × 75,567.94
  4. Step 4: Simplify right side
    262,571.02x = 29,767,332,481.74
  5. Step 5: Solve for x
    x = 29,767,332,481.74/262,571.02
  6. Step 6: Final answer
    x = 113,368.69

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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.