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Finding the Fourth Proportional to 106,370.88, 146,844.96 and 82,443.84

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Solution

The fourth proportional to 106,370.88, 146,844.96 and 82,443.84 is: 113,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,370.88 : 146,844.96 = 82,443.84 : x
  2. Step 2: Convert to fraction form
    106,370.88/146,844.96 = 82,443.84/x
  3. Step 3: Cross multiply
    106,370.88x = 146,844.96 × 82,443.84
  4. Step 4: Simplify right side
    106,370.88x = 12,106,462,387.05
  5. Step 5: Solve for x
    x = 12,106,462,387.05/106,370.88
  6. Step 6: Final answer
    x = 113,813.69

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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.