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Finding the Fourth Proportional to 180,662.58, 270,944.19 and 75,464.10

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Solution

The fourth proportional to 180,662.58, 270,944.19 and 75,464.10 is: 113,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,662.58 : 270,944.19 = 75,464.10 : x
  2. Step 2: Convert to fraction form
    180,662.58/270,944.19 = 75,464.10/x
  3. Step 3: Cross multiply
    180,662.58x = 270,944.19 × 75,464.10
  4. Step 4: Simplify right side
    180,662.58x = 20,446,559,448.58
  5. Step 5: Solve for x
    x = 20,446,559,448.58/180,662.58
  6. Step 6: Final answer
    x = 113,175.40

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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.