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Finding the Fourth Proportional to 180,333.26, 270,524.51 and 75,127.64

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Solution

The fourth proportional to 180,333.26, 270,524.51 and 75,127.64 is: 112,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,333.26 : 270,524.51 = 75,127.64 : x
  2. Step 2: Convert to fraction form
    180,333.26/270,524.51 = 75,127.64/x
  3. Step 3: Cross multiply
    180,333.26x = 270,524.51 × 75,127.64
  4. Step 4: Simplify right side
    180,333.26x = 20,323,867,998.46
  5. Step 5: Solve for x
    x = 20,323,867,998.46/180,333.26
  6. Step 6: Final answer
    x = 112,701.72

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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.