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Finding the Fourth Proportional to 200,180.78, 276,093.45 and 128,567.46

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Solution

The fourth proportional to 200,180.78, 276,093.45 and 128,567.46 is: 177,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,180.78 : 276,093.45 = 128,567.46 : x
  2. Step 2: Convert to fraction form
    200,180.78/276,093.45 = 128,567.46/x
  3. Step 3: Cross multiply
    200,180.78x = 276,093.45 × 128,567.46
  4. Step 4: Simplify right side
    200,180.78x = 35,496,633,589.14
  5. Step 5: Solve for x
    x = 35,496,633,589.14/200,180.78
  6. Step 6: Final answer
    x = 177,322.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.