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Finding the Fourth Proportional to 104,908.82, 157,409.75 and 54,977.05

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Solution

The fourth proportional to 104,908.82, 157,409.75 and 54,977.05 is: 82,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,908.82 : 157,409.75 = 54,977.05 : x
  2. Step 2: Convert to fraction form
    104,908.82/157,409.75 = 54,977.05/x
  3. Step 3: Cross multiply
    104,908.82x = 157,409.75 × 54,977.05
  4. Step 4: Simplify right side
    104,908.82x = 8,653,923,165.27
  5. Step 5: Solve for x
    x = 8,653,923,165.27/104,908.82
  6. Step 6: Final answer
    x = 82,489.95

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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.