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Finding the Fourth Proportional to 173,057.64, 259,584.73 and 54,729

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Solution

The fourth proportional to 173,057.64, 259,584.73 and 54,729 is: 82,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,057.64 : 259,584.73 = 54,729 : x
  2. Step 2: Convert to fraction form
    173,057.64/259,584.73 = 54,729/x
  3. Step 3: Cross multiply
    173,057.64x = 259,584.73 × 54,729
  4. Step 4: Simplify right side
    173,057.64x = 14,206,812,688.17
  5. Step 5: Solve for x
    x = 14,206,812,688.17/173,057.64
  6. Step 6: Final answer
    x = 82,092.95

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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.