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Finding the Fourth Proportional to 180,084.33, 270,041.72 and 105,226.09

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Solution

The fourth proportional to 180,084.33, 270,041.72 and 105,226.09 is: 157,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,084.33 : 270,041.72 = 105,226.09 : x
  2. Step 2: Convert to fraction form
    180,084.33/270,041.72 = 105,226.09/x
  3. Step 3: Cross multiply
    180,084.33x = 270,041.72 × 105,226.09
  4. Step 4: Simplify right side
    180,084.33x = 28,415,433,131.24
  5. Step 5: Solve for x
    x = 28,415,433,131.24/180,084.33
  6. Step 6: Final answer
    x = 157,789.59

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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.