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Finding the Fourth Proportional to 200,717.56, 277,002.48 and 115,840.09

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Solution

The fourth proportional to 200,717.56, 277,002.48 and 115,840.09 is: 159,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717.56 : 277,002.48 = 115,840.09 : x
  2. Step 2: Convert to fraction form
    200,717.56/277,002.48 = 115,840.09/x
  3. Step 3: Cross multiply
    200,717.56x = 277,002.48 × 115,840.09
  4. Step 4: Simplify right side
    200,717.56x = 32,087,992,213.42
  5. Step 5: Solve for x
    x = 32,087,992,213.42/200,717.56
  6. Step 6: Final answer
    x = 159,866.39

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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.