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Finding the Fourth Proportional to 302,013.38, 416,778.72 and 166,049.66

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Solution

The fourth proportional to 302,013.38, 416,778.72 and 166,049.66 is: 229,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,013.38 : 416,778.72 = 166,049.66 : x
  2. Step 2: Convert to fraction form
    302,013.38/416,778.72 = 166,049.66/x
  3. Step 3: Cross multiply
    302,013.38x = 416,778.72 × 166,049.66
  4. Step 4: Simplify right side
    302,013.38x = 69,205,964,751.24
  5. Step 5: Solve for x
    x = 69,205,964,751.24/302,013.38
  6. Step 6: Final answer
    x = 229,148.67

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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.