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Finding the Fourth Proportional to 180,080.34, 270,353.79 and 113,653.86

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Solution

The fourth proportional to 180,080.34, 270,353.79 and 113,653.86 is: 170,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,080.34 : 270,353.79 = 113,653.86 : x
  2. Step 2: Convert to fraction form
    180,080.34/270,353.79 = 113,653.86/x
  3. Step 3: Cross multiply
    180,080.34x = 270,353.79 × 113,653.86
  4. Step 4: Simplify right side
    180,080.34x = 30,726,751,799.13
  5. Step 5: Solve for x
    x = 30,726,751,799.13/180,080.34
  6. Step 6: Final answer
    x = 170,628.02

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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.