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Finding the Fourth Proportional to 133,423.80, 200,118.42 and 50,307

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Solution

The fourth proportional to 133,423.80, 200,118.42 and 50,307 is: 75,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,423.80 : 200,118.42 = 50,307 : x
  2. Step 2: Convert to fraction form
    133,423.80/200,118.42 = 50,307/x
  3. Step 3: Cross multiply
    133,423.80x = 200,118.42 × 50,307
  4. Step 4: Simplify right side
    133,423.80x = 10,067,357,354.94
  5. Step 5: Solve for x
    x = 10,067,357,354.94/133,423.80
  6. Step 6: Final answer
    x = 75,453.98

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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.