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Finding the Fourth Proportional to 117,633.60, 176,450.40 and 82,204.20

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Solution

The fourth proportional to 117,633.60, 176,450.40 and 82,204.20 is: 123,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,633.60 : 176,450.40 = 82,204.20 : x
  2. Step 2: Convert to fraction form
    117,633.60/176,450.40 = 82,204.20/x
  3. Step 3: Cross multiply
    117,633.60x = 176,450.40 × 82,204.20
  4. Step 4: Simplify right side
    117,633.60x = 14,504,963,971.68
  5. Step 5: Solve for x
    x = 14,504,963,971.68/117,633.60
  6. Step 6: Final answer
    x = 123,306.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.