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Finding the Fourth Proportional to 83,653.45, 115,668.83 and 82,301.40

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Solution

The fourth proportional to 83,653.45, 115,668.83 and 82,301.40 is: 113,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,653.45 : 115,668.83 = 82,301.40 : x
  2. Step 2: Convert to fraction form
    83,653.45/115,668.83 = 82,301.40/x
  3. Step 3: Cross multiply
    83,653.45x = 115,668.83 × 82,301.40
  4. Step 4: Simplify right side
    83,653.45x = 9,519,706,645.36
  5. Step 5: Solve for x
    x = 9,519,706,645.36/83,653.45
  6. Step 6: Final answer
    x = 113,799.33

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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.