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Finding the Fourth Proportional to 302,123.84, 416,935.69 and 166,163.72

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Solution

The fourth proportional to 302,123.84, 416,935.69 and 166,163.72 is: 229,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,123.84 : 416,935.69 = 166,163.72 : x
  2. Step 2: Convert to fraction form
    302,123.84/416,935.69 = 166,163.72/x
  3. Step 3: Cross multiply
    302,123.84x = 416,935.69 × 166,163.72
  4. Step 4: Simplify right side
    302,123.84x = 69,279,582,751.08
  5. Step 5: Solve for x
    x = 69,279,582,751.08/302,123.84
  6. Step 6: Final answer
    x = 229,308.56

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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.