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Finding the Fourth Proportional to 200,916.56, 277,261.92 and 114,874.64

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Solution

The fourth proportional to 200,916.56, 277,261.92 and 114,874.64 is: 158,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916.56 : 277,261.92 = 114,874.64 : x
  2. Step 2: Convert to fraction form
    200,916.56/277,261.92 = 114,874.64/x
  3. Step 3: Cross multiply
    200,916.56x = 277,261.92 × 114,874.64
  4. Step 4: Simplify right side
    200,916.56x = 31,850,363,245.71
  5. Step 5: Solve for x
    x = 31,850,363,245.71/200,916.56
  6. Step 6: Final answer
    x = 158,525.33

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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.