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Finding the Fourth Proportional to 302,204, 417,041.52 and 168,068

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Solution

The fourth proportional to 302,204, 417,041.52 and 168,068 is: 231,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,204 : 417,041.52 = 168,068 : x
  2. Step 2: Convert to fraction form
    302,204/417,041.52 = 168,068/x
  3. Step 3: Cross multiply
    302,204x = 417,041.52 × 168,068
  4. Step 4: Simplify right side
    302,204x = 70,091,334,183.36
  5. Step 5: Solve for x
    x = 70,091,334,183.36/302,204
  6. Step 6: Final answer
    x = 231,933.84

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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.