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Finding the Fourth Proportional to 180,386.73, 270,321.30 and 101,334.65

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Solution

The fourth proportional to 180,386.73, 270,321.30 and 101,334.65 is: 151,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,386.73 : 270,321.30 = 101,334.65 : x
  2. Step 2: Convert to fraction form
    180,386.73/270,321.30 = 101,334.65/x
  3. Step 3: Cross multiply
    180,386.73x = 270,321.30 × 101,334.65
  4. Step 4: Simplify right side
    180,386.73x = 27,392,912,971.44
  5. Step 5: Solve for x
    x = 27,392,912,971.44/180,386.73
  6. Step 6: Final answer
    x = 151,856.59

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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.