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Finding the Fourth Proportional to 133,542.60, 200,216.70 and 54,616.20

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Solution

The fourth proportional to 133,542.60, 200,216.70 and 54,616.20 is: 81,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542.60 : 200,216.70 = 54,616.20 : x
  2. Step 2: Convert to fraction form
    133,542.60/200,216.70 = 54,616.20/x
  3. Step 3: Cross multiply
    133,542.60x = 200,216.70 × 54,616.20
  4. Step 4: Simplify right side
    133,542.60x = 10,935,075,330.54
  5. Step 5: Solve for x
    x = 10,935,075,330.54/133,542.60
  6. Step 6: Final answer
    x = 81,884.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.