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Finding the Fourth Proportional to 149,713.40, 206,604.06 and 82,645.40

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Solution

The fourth proportional to 149,713.40, 206,604.06 and 82,645.40 is: 114,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713.40 : 206,604.06 = 82,645.40 : x
  2. Step 2: Convert to fraction form
    149,713.40/206,604.06 = 82,645.40/x
  3. Step 3: Cross multiply
    149,713.40x = 206,604.06 × 82,645.40
  4. Step 4: Simplify right side
    149,713.40x = 17,074,875,180.32
  5. Step 5: Solve for x
    x = 17,074,875,180.32/149,713.40
  6. Step 6: Final answer
    x = 114,050.41

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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.