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Finding the Fourth Proportional to 180,186, 270,279.12 and 48,858

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Solution

The fourth proportional to 180,186, 270,279.12 and 48,858 is: 73,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,186 : 270,279.12 = 48,858 : x
  2. Step 2: Convert to fraction form
    180,186/270,279.12 = 48,858/x
  3. Step 3: Cross multiply
    180,186x = 270,279.12 × 48,858
  4. Step 4: Simplify right side
    180,186x = 13,205,297,244.96
  5. Step 5: Solve for x
    x = 13,205,297,244.96/180,186
  6. Step 6: Final answer
    x = 73,287.03

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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.