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Finding the Fourth Proportional to 108,144, 162,216 and 34,272

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Solution

The fourth proportional to 108,144, 162,216 and 34,272 is: 51,408

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,144 : 162,216 = 34,272 : x
  2. Step 2: Convert to fraction form
    108,144/162,216 = 34,272/x
  3. Step 3: Cross multiply
    108,144x = 162,216 × 34,272
  4. Step 4: Simplify right side
    108,144x = 5,559,466,752
  5. Step 5: Solve for x
    x = 5,559,466,752/108,144
  6. Step 6: Final answer
    x = 51,408

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.