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Finding the Fourth Proportional to 180,126, 270,189 and 48,798

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Solution

The fourth proportional to 180,126, 270,189 and 48,798 is: 73,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,126 : 270,189 = 48,798 : x
  2. Step 2: Convert to fraction form
    180,126/270,189 = 48,798/x
  3. Step 3: Cross multiply
    180,126x = 270,189 × 48,798
  4. Step 4: Simplify right side
    180,126x = 13,184,682,822
  5. Step 5: Solve for x
    x = 13,184,682,822/180,126
  6. Step 6: Final answer
    x = 73,197

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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.