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Finding the Fourth Proportional to 302,310.75, 417,189.24 and 168,174.75

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Solution

The fourth proportional to 302,310.75, 417,189.24 and 168,174.75 is: 232,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,310.75 : 417,189.24 = 168,174.75 : x
  2. Step 2: Convert to fraction form
    302,310.75/417,189.24 = 168,174.75/x
  3. Step 3: Cross multiply
    302,310.75x = 417,189.24 × 168,174.75
  4. Step 4: Simplify right side
    302,310.75x = 70,160,696,139.69
  5. Step 5: Solve for x
    x = 70,160,696,139.69/302,310.75
  6. Step 6: Final answer
    x = 232,081.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.