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Finding the Fourth Proportional to 108,217.84, 162,384.92 and 52,813.84

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Solution

The fourth proportional to 108,217.84, 162,384.92 and 52,813.84 is: 79,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,217.84 : 162,384.92 = 52,813.84 : x
  2. Step 2: Convert to fraction form
    108,217.84/162,384.92 = 52,813.84/x
  3. Step 3: Cross multiply
    108,217.84x = 162,384.92 × 52,813.84
  4. Step 4: Simplify right side
    108,217.84x = 8,576,171,183.29
  5. Step 5: Solve for x
    x = 8,576,171,183.29/108,217.84
  6. Step 6: Final answer
    x = 79,249.14

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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.