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Finding the Fourth Proportional to 302,013.81, 416,770.25 and 166,047.62

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Solution

The fourth proportional to 302,013.81, 416,770.25 and 166,047.62 is: 229,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,013.81 : 416,770.25 = 166,047.62 : x
  2. Step 2: Convert to fraction form
    302,013.81/416,770.25 = 166,047.62/x
  3. Step 3: Cross multiply
    302,013.81x = 416,770.25 × 166,047.62
  4. Step 4: Simplify right side
    302,013.81x = 69,203,705,185.22
  5. Step 5: Solve for x
    x = 69,203,705,185.22/302,013.81
  6. Step 6: Final answer
    x = 229,140.86

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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.