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Finding the Fourth Proportional to 180,329.76, 270,396.72 and 53,952.48

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Solution

The fourth proportional to 180,329.76, 270,396.72 and 53,952.48 is: 80,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,329.76 : 270,396.72 = 53,952.48 : x
  2. Step 2: Convert to fraction form
    180,329.76/270,396.72 = 53,952.48/x
  3. Step 3: Cross multiply
    180,329.76x = 270,396.72 × 53,952.48
  4. Step 4: Simplify right side
    180,329.76x = 14,588,573,627.87
  5. Step 5: Solve for x
    x = 14,588,573,627.87/180,329.76
  6. Step 6: Final answer
    x = 80,899.42

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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.