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Finding the Fourth Proportional to 274,021.80, 411,455.10 and 149,605.80

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Solution

The fourth proportional to 274,021.80, 411,455.10 and 149,605.80 is: 224,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,021.80 : 411,455.10 = 149,605.80 : x
  2. Step 2: Convert to fraction form
    274,021.80/411,455.10 = 149,605.80/x
  3. Step 3: Cross multiply
    274,021.80x = 411,455.10 × 149,605.80
  4. Step 4: Simplify right side
    274,021.80x = 61,556,069,399.58
  5. Step 5: Solve for x
    x = 61,556,069,399.58/274,021.80
  6. Step 6: Final answer
    x = 224,639.31

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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.