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Finding the Fourth Proportional to 109,916.30, 164,874.45 and 92,636.30

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Solution

The fourth proportional to 109,916.30, 164,874.45 and 92,636.30 is: 138,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.30 : 164,874.45 = 92,636.30 : x
  2. Step 2: Convert to fraction form
    109,916.30/164,874.45 = 92,636.30/x
  3. Step 3: Cross multiply
    109,916.30x = 164,874.45 × 92,636.30
  4. Step 4: Simplify right side
    109,916.30x = 15,273,359,012.54
  5. Step 5: Solve for x
    x = 15,273,359,012.54/109,916.30
  6. Step 6: Final answer
    x = 138,954.45

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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.