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Finding the Fourth Proportional to 180,409.44, 270,608.54 and 85,707.80

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Solution

The fourth proportional to 180,409.44, 270,608.54 and 85,707.80 is: 128,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.44 : 270,608.54 = 85,707.80 : x
  2. Step 2: Convert to fraction form
    180,409.44/270,608.54 = 85,707.80/x
  3. Step 3: Cross multiply
    180,409.44x = 270,608.54 × 85,707.80
  4. Step 4: Simplify right side
    180,409.44x = 23,193,262,624.61
  5. Step 5: Solve for x
    x = 23,193,262,624.61/180,409.44
  6. Step 6: Final answer
    x = 128,559.03

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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.