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Finding the Fourth Proportional to 200,184.78, 276,098.97 and 128,571.46

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Solution

The fourth proportional to 200,184.78, 276,098.97 and 128,571.46 is: 177,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,184.78 : 276,098.97 = 128,571.46 : x
  2. Step 2: Convert to fraction form
    200,184.78/276,098.97 = 128,571.46/x
  3. Step 3: Cross multiply
    200,184.78x = 276,098.97 × 128,571.46
  4. Step 4: Simplify right side
    200,184.78x = 35,498,447,677.40
  5. Step 5: Solve for x
    x = 35,498,447,677.40/200,184.78
  6. Step 6: Final answer
    x = 177,328.40

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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.