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Finding the Fourth Proportional to 180,568.66, 270,878.19 and 75,363.54

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Solution

The fourth proportional to 180,568.66, 270,878.19 and 75,363.54 is: 113,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,568.66 : 270,878.19 = 75,363.54 : x
  2. Step 2: Convert to fraction form
    180,568.66/270,878.19 = 75,363.54/x
  3. Step 3: Cross multiply
    180,568.66x = 270,878.19 × 75,363.54
  4. Step 4: Simplify right side
    180,568.66x = 20,414,339,307.19
  5. Step 5: Solve for x
    x = 20,414,339,307.19/180,568.66
  6. Step 6: Final answer
    x = 113,055.83

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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.