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Finding the Fourth Proportional to 180,093.93, 270,219.27 and 85,390.45

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Solution

The fourth proportional to 180,093.93, 270,219.27 and 85,390.45 is: 128,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,093.93 : 270,219.27 = 85,390.45 : x
  2. Step 2: Convert to fraction form
    180,093.93/270,219.27 = 85,390.45/x
  3. Step 3: Cross multiply
    180,093.93x = 270,219.27 × 85,390.45
  4. Step 4: Simplify right side
    180,093.93x = 23,074,145,508.14
  5. Step 5: Solve for x
    x = 23,074,145,508.14/180,093.93
  6. Step 6: Final answer
    x = 128,122.84

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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.