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Finding the Fourth Proportional to 180,568.34, 270,751.21 and 123,706.48

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Solution

The fourth proportional to 180,568.34, 270,751.21 and 123,706.48 is: 185,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,568.34 : 270,751.21 = 123,706.48 : x
  2. Step 2: Convert to fraction form
    180,568.34/270,751.21 = 123,706.48/x
  3. Step 3: Cross multiply
    180,568.34x = 270,751.21 × 123,706.48
  4. Step 4: Simplify right side
    180,568.34x = 33,493,679,144.84
  5. Step 5: Solve for x
    x = 33,493,679,144.84/180,568.34
  6. Step 6: Final answer
    x = 185,490.32

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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.