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Finding the Fourth Proportional to 149,698.23, 206,584.34 and 82,630.23

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Solution

The fourth proportional to 149,698.23, 206,584.34 and 82,630.23 is: 114,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,698.23 : 206,584.34 = 82,630.23 : x
  2. Step 2: Convert to fraction form
    149,698.23/206,584.34 = 82,630.23/x
  3. Step 3: Cross multiply
    149,698.23x = 206,584.34 × 82,630.23
  4. Step 4: Simplify right side
    149,698.23x = 17,070,111,115.45
  5. Step 5: Solve for x
    x = 17,070,111,115.45/149,698.23
  6. Step 6: Final answer
    x = 114,030.15

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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.