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Finding the Fourth Proportional to 180,260.70, 270,245.22 and 110,116.32

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Solution

The fourth proportional to 180,260.70, 270,245.22 and 110,116.32 is: 165,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,260.70 : 270,245.22 = 110,116.32 : x
  2. Step 2: Convert to fraction form
    180,260.70/270,245.22 = 110,116.32/x
  3. Step 3: Cross multiply
    180,260.70x = 270,245.22 × 110,116.32
  4. Step 4: Simplify right side
    180,260.70x = 29,758,409,123.99
  5. Step 5: Solve for x
    x = 29,758,409,123.99/180,260.70
  6. Step 6: Final answer
    x = 165,085.40

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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.