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Finding the Fourth Proportional to 133,941.80, 200,907.83 and 54,014.24

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Solution

The fourth proportional to 133,941.80, 200,907.83 and 54,014.24 is: 81,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,941.80 : 200,907.83 = 54,014.24 : x
  2. Step 2: Convert to fraction form
    133,941.80/200,907.83 = 54,014.24/x
  3. Step 3: Cross multiply
    133,941.80x = 200,907.83 × 54,014.24
  4. Step 4: Simplify right side
    133,941.80x = 10,851,882,472.89
  5. Step 5: Solve for x
    x = 10,851,882,472.89/133,941.80
  6. Step 6: Final answer
    x = 81,019.39

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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.