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Finding the Fourth Proportional to 180,513.37, 270,795.17 and 75,308.14

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Solution

The fourth proportional to 180,513.37, 270,795.17 and 75,308.14 is: 112,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,513.37 : 270,795.17 = 75,308.14 : x
  2. Step 2: Convert to fraction form
    180,513.37/270,795.17 = 75,308.14/x
  3. Step 3: Cross multiply
    180,513.37x = 270,795.17 × 75,308.14
  4. Step 4: Simplify right side
    180,513.37x = 20,393,080,573.68
  5. Step 5: Solve for x
    x = 20,393,080,573.68/180,513.37
  6. Step 6: Final answer
    x = 112,972.69

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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.