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Finding the Fourth Proportional to 106,363.81, 146,798.27 and 80,828.56

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Solution

The fourth proportional to 106,363.81, 146,798.27 and 80,828.56 is: 111,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.81 : 146,798.27 = 80,828.56 : x
  2. Step 2: Convert to fraction form
    106,363.81/146,798.27 = 80,828.56/x
  3. Step 3: Cross multiply
    106,363.81x = 146,798.27 × 80,828.56
  4. Step 4: Simplify right side
    106,363.81x = 11,865,492,774.59
  5. Step 5: Solve for x
    x = 11,865,492,774.59/106,363.81
  6. Step 6: Final answer
    x = 111,555.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.