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Finding the Fourth Proportional to 256,664.50, 385,062.36 and 106,855.00

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Solution

The fourth proportional to 256,664.50, 385,062.36 and 106,855.00 is: 160,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,664.50 : 385,062.36 = 106,855.00 : x
  2. Step 2: Convert to fraction form
    256,664.50/385,062.36 = 106,855.00/x
  3. Step 3: Cross multiply
    256,664.50x = 385,062.36 × 106,855.00
  4. Step 4: Simplify right side
    256,664.50x = 41,145,837,114.44
  5. Step 5: Solve for x
    x = 41,145,837,114.44/256,664.50
  6. Step 6: Final answer
    x = 160,309.81

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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.