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Finding the Fourth Proportional to 180,568.80, 270,896.40 and 75,329.28

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Solution

The fourth proportional to 180,568.80, 270,896.40 and 75,329.28 is: 113,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,568.80 : 270,896.40 = 75,329.28 : x
  2. Step 2: Convert to fraction form
    180,568.80/270,896.40 = 75,329.28/x
  3. Step 3: Cross multiply
    180,568.80x = 270,896.40 × 75,329.28
  4. Step 4: Simplify right side
    180,568.80x = 20,406,430,766.59
  5. Step 5: Solve for x
    x = 20,406,430,766.59/180,568.80
  6. Step 6: Final answer
    x = 113,011.94

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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.