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Finding the Fourth Proportional to 180,339.34, 270,555.14 and 105,522.41

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Solution

The fourth proportional to 180,339.34, 270,555.14 and 105,522.41 is: 158,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,339.34 : 270,555.14 = 105,522.41 : x
  2. Step 2: Convert to fraction form
    180,339.34/270,555.14 = 105,522.41/x
  3. Step 3: Cross multiply
    180,339.34x = 270,555.14 × 105,522.41
  4. Step 4: Simplify right side
    180,339.34x = 28,549,629,615.91
  5. Step 5: Solve for x
    x = 28,549,629,615.91/180,339.34
  6. Step 6: Final answer
    x = 158,310.61

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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.