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Finding the Fourth Proportional to 200,115.38, 276,165.80 and 114,072.83

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Solution

The fourth proportional to 200,115.38, 276,165.80 and 114,072.83 is: 157,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,115.38 : 276,165.80 = 114,072.83 : x
  2. Step 2: Convert to fraction form
    200,115.38/276,165.80 = 114,072.83/x
  3. Step 3: Cross multiply
    200,115.38x = 276,165.80 × 114,072.83
  4. Step 4: Simplify right side
    200,115.38x = 31,503,014,509.08
  5. Step 5: Solve for x
    x = 31,503,014,509.08/200,115.38
  6. Step 6: Final answer
    x = 157,424.25

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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.