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Finding the Fourth Proportional to 494,090.65, 741,179.73 and 139,107.74

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Solution

The fourth proportional to 494,090.65, 741,179.73 and 139,107.74 is: 208,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,090.65 : 741,179.73 = 139,107.74 : x
  2. Step 2: Convert to fraction form
    494,090.65/741,179.73 = 139,107.74/x
  3. Step 3: Cross multiply
    494,090.65x = 741,179.73 × 139,107.74
  4. Step 4: Simplify right side
    494,090.65x = 103,103,837,174.11
  5. Step 5: Solve for x
    x = 103,103,837,174.11/494,090.65
  6. Step 6: Final answer
    x = 208,673.93

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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.