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Finding the Fourth Proportional to 302,614.98, 417,608.73 and 166,648.58

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Solution

The fourth proportional to 302,614.98, 417,608.73 and 166,648.58 is: 229,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,614.98 : 417,608.73 = 166,648.58 : x
  2. Step 2: Convert to fraction form
    302,614.98/417,608.73 = 166,648.58/x
  3. Step 3: Cross multiply
    302,614.98x = 417,608.73 × 166,648.58
  4. Step 4: Simplify right side
    302,614.98x = 69,593,901,850.10
  5. Step 5: Solve for x
    x = 69,593,901,850.10/302,614.98
  6. Step 6: Final answer
    x = 229,975.07

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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.