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Finding the Fourth Proportional to 203,916.38, 281,506.85 and 127,477.95

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Solution

The fourth proportional to 203,916.38, 281,506.85 and 127,477.95 is: 175,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,916.38 : 281,506.85 = 127,477.95 : x
  2. Step 2: Convert to fraction form
    203,916.38/281,506.85 = 127,477.95/x
  3. Step 3: Cross multiply
    203,916.38x = 281,506.85 × 127,477.95
  4. Step 4: Simplify right side
    203,916.38x = 35,885,915,511.57
  5. Step 5: Solve for x
    x = 35,885,915,511.57/203,916.38
  6. Step 6: Final answer
    x = 175,983.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.