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Finding the Fourth Proportional to 200,072.80, 276,137.40 and 128,542.24

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Solution

The fourth proportional to 200,072.80, 276,137.40 and 128,542.24 is: 177,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,072.80 : 276,137.40 = 128,542.24 : x
  2. Step 2: Convert to fraction form
    200,072.80/276,137.40 = 128,542.24/x
  3. Step 3: Cross multiply
    200,072.80x = 276,137.40 × 128,542.24
  4. Step 4: Simplify right side
    200,072.80x = 35,495,319,943.78
  5. Step 5: Solve for x
    x = 35,495,319,943.78/200,072.80
  6. Step 6: Final answer
    x = 177,412.02

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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.