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Finding the Fourth Proportional to 180,551.34, 270,725.70 and 123,689.49

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Solution

The fourth proportional to 180,551.34, 270,725.70 and 123,689.49 is: 185,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,551.34 : 270,725.70 = 123,689.49 : x
  2. Step 2: Convert to fraction form
    180,551.34/270,725.70 = 123,689.49/x
  3. Step 3: Cross multiply
    180,551.34x = 270,725.70 × 123,689.49
  4. Step 4: Simplify right side
    180,551.34x = 33,485,923,762.89
  5. Step 5: Solve for x
    x = 33,485,923,762.89/180,551.34
  6. Step 6: Final answer
    x = 185,464.83

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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.