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Finding the Fourth Proportional to 200,808.36, 277,112.94 and 114,766.56

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Solution

The fourth proportional to 200,808.36, 277,112.94 and 114,766.56 is: 158,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808.36 : 277,112.94 = 114,766.56 : x
  2. Step 2: Convert to fraction form
    200,808.36/277,112.94 = 114,766.56/x
  3. Step 3: Cross multiply
    200,808.36x = 277,112.94 × 114,766.56
  4. Step 4: Simplify right side
    200,808.36x = 31,803,298,855.29
  5. Step 5: Solve for x
    x = 31,803,298,855.29/200,808.36
  6. Step 6: Final answer
    x = 158,376.37

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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.