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Finding the Fourth Proportional to 108,162, 162,243 and 34,290

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Solution

The fourth proportional to 108,162, 162,243 and 34,290 is: 51,435

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,162 : 162,243 = 34,290 : x
  2. Step 2: Convert to fraction form
    108,162/162,243 = 34,290/x
  3. Step 3: Cross multiply
    108,162x = 162,243 × 34,290
  4. Step 4: Simplify right side
    108,162x = 5,563,312,470
  5. Step 5: Solve for x
    x = 5,563,312,470/108,162
  6. Step 6: Final answer
    x = 51,435

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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.