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Finding the Fourth Proportional to 284,078.32, 426,103.64 and 106,571.50

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Solution

The fourth proportional to 284,078.32, 426,103.64 and 106,571.50 is: 159,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,078.32 : 426,103.64 = 106,571.50 : x
  2. Step 2: Convert to fraction form
    284,078.32/426,103.64 = 106,571.50/x
  3. Step 3: Cross multiply
    284,078.32x = 426,103.64 × 106,571.50
  4. Step 4: Simplify right side
    284,078.32x = 45,410,504,070.26
  5. Step 5: Solve for x
    x = 45,410,504,070.26/284,078.32
  6. Step 6: Final answer
    x = 159,852.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.