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Finding the Fourth Proportional to 275,455.11, 413,252.15 and 133,368.46

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Solution

The fourth proportional to 275,455.11, 413,252.15 and 133,368.46 is: 200,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,455.11 : 413,252.15 = 133,368.46 : x
  2. Step 2: Convert to fraction form
    275,455.11/413,252.15 = 133,368.46/x
  3. Step 3: Cross multiply
    275,455.11x = 413,252.15 × 133,368.46
  4. Step 4: Simplify right side
    275,455.11x = 55,114,801,137.22
  5. Step 5: Solve for x
    x = 55,114,801,137.22/275,455.11
  6. Step 6: Final answer
    x = 200,086.32

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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.