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Finding the Fourth Proportional to 180,481.08, 270,987.75 and 100,674.98

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Solution

The fourth proportional to 180,481.08, 270,987.75 and 100,674.98 is: 151,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,481.08 : 270,987.75 = 100,674.98 : x
  2. Step 2: Convert to fraction form
    180,481.08/270,987.75 = 100,674.98/x
  3. Step 3: Cross multiply
    180,481.08x = 270,987.75 × 100,674.98
  4. Step 4: Simplify right side
    180,481.08x = 27,281,686,311.50
  5. Step 5: Solve for x
    x = 27,281,686,311.50/180,481.08
  6. Step 6: Final answer
    x = 151,160.92

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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.