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Finding the Fourth Proportional to 180,405.44, 270,602.56 and 85,703.77

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Solution

The fourth proportional to 180,405.44, 270,602.56 and 85,703.77 is: 128,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,405.44 : 270,602.56 = 85,703.77 : x
  2. Step 2: Convert to fraction form
    180,405.44/270,602.56 = 85,703.77/x
  3. Step 3: Cross multiply
    180,405.44x = 270,602.56 × 85,703.77
  4. Step 4: Simplify right side
    180,405.44x = 23,191,659,563.65
  5. Step 5: Solve for x
    x = 23,191,659,563.65/180,405.44
  6. Step 6: Final answer
    x = 128,552.99

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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.