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Finding the Fourth Proportional to 173,056.64, 259,583.23 and 54,728

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Solution

The fourth proportional to 173,056.64, 259,583.23 and 54,728 is: 82,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,056.64 : 259,583.23 = 54,728 : x
  2. Step 2: Convert to fraction form
    173,056.64/259,583.23 = 54,728/x
  3. Step 3: Cross multiply
    173,056.64x = 259,583.23 × 54,728
  4. Step 4: Simplify right side
    173,056.64x = 14,206,471,011.44
  5. Step 5: Solve for x
    x = 14,206,471,011.44/173,056.64
  6. Step 6: Final answer
    x = 82,091.45

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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.