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Finding the Fourth Proportional to 200,078.98, 276,117.83 and 115,223.38

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Solution

The fourth proportional to 200,078.98, 276,117.83 and 115,223.38 is: 159,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078.98 : 276,117.83 = 115,223.38 : x
  2. Step 2: Convert to fraction form
    200,078.98/276,117.83 = 115,223.38/x
  3. Step 3: Cross multiply
    200,078.98x = 276,117.83 × 115,223.38
  4. Step 4: Simplify right side
    200,078.98x = 31,815,228,270.28
  5. Step 5: Solve for x
    x = 31,815,228,270.28/200,078.98
  6. Step 6: Final answer
    x = 159,013.35

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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.