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Finding the Fourth Proportional to 106,363.31, 146,797.58 and 80,828.06

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Solution

The fourth proportional to 106,363.31, 146,797.58 and 80,828.06 is: 111,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.31 : 146,797.58 = 80,828.06 : x
  2. Step 2: Convert to fraction form
    106,363.31/146,797.58 = 80,828.06/x
  3. Step 3: Cross multiply
    106,363.31x = 146,797.58 × 80,828.06
  4. Step 4: Simplify right side
    106,363.31x = 11,865,363,199.95
  5. Step 5: Solve for x
    x = 11,865,363,199.95/106,363.31
  6. Step 6: Final answer
    x = 111,555.04

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1.5x scale

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.