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Finding the Fourth Proportional to 201,418.29, 277,951.37 and 110,774.16

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Solution

The fourth proportional to 201,418.29, 277,951.37 and 110,774.16 is: 152,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,418.29 : 277,951.37 = 110,774.16 : x
  2. Step 2: Convert to fraction form
    201,418.29/277,951.37 = 110,774.16/x
  3. Step 3: Cross multiply
    201,418.29x = 277,951.37 × 110,774.16
  4. Step 4: Simplify right side
    201,418.29x = 30,789,828,978.73
  5. Step 5: Solve for x
    x = 30,789,828,978.73/201,418.29
  6. Step 6: Final answer
    x = 152,865.11

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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.