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Finding the Fourth Proportional to 180,562.44, 270,677.80 and 62,205.64

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Solution

The fourth proportional to 180,562.44, 270,677.80 and 62,205.64 is: 93,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,562.44 : 270,677.80 = 62,205.64 : x
  2. Step 2: Convert to fraction form
    180,562.44/270,677.80 = 62,205.64/x
  3. Step 3: Cross multiply
    180,562.44x = 270,677.80 × 62,205.64
  4. Step 4: Simplify right side
    180,562.44x = 16,837,685,782.79
  5. Step 5: Solve for x
    x = 16,837,685,782.79/180,562.44
  6. Step 6: Final answer
    x = 93,251.32

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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.