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Finding the Fourth Proportional to 176,004.70, 264,009.21 and 116,414.62

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Solution

The fourth proportional to 176,004.70, 264,009.21 and 116,414.62 is: 174,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,004.70 : 264,009.21 = 116,414.62 : x
  2. Step 2: Convert to fraction form
    176,004.70/264,009.21 = 116,414.62/x
  3. Step 3: Cross multiply
    176,004.70x = 264,009.21 × 116,414.62
  4. Step 4: Simplify right side
    176,004.70x = 30,734,531,858.65
  5. Step 5: Solve for x
    x = 30,734,531,858.65/176,004.70
  6. Step 6: Final answer
    x = 174,623.36

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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.