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Finding the Fourth Proportional to 180,121, 270,181.50 and 48,793

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Solution

The fourth proportional to 180,121, 270,181.50 and 48,793 is: 73,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,121 : 270,181.50 = 48,793 : x
  2. Step 2: Convert to fraction form
    180,121/270,181.50 = 48,793/x
  3. Step 3: Cross multiply
    180,121x = 270,181.50 × 48,793
  4. Step 4: Simplify right side
    180,121x = 13,182,965,929.50
  5. Step 5: Solve for x
    x = 13,182,965,929.50/180,121
  6. Step 6: Final answer
    x = 73,189.50

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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.