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Finding the Fourth Proportional to 302,065.34, 416,841.36 and 166,099.14

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Solution

The fourth proportional to 302,065.34, 416,841.36 and 166,099.14 is: 229,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,065.34 : 416,841.36 = 166,099.14 : x
  2. Step 2: Convert to fraction form
    302,065.34/416,841.36 = 166,099.14/x
  3. Step 3: Cross multiply
    302,065.34x = 416,841.36 × 166,099.14
  4. Step 4: Simplify right side
    302,065.34x = 69,236,991,412.43
  5. Step 5: Solve for x
    x = 69,236,991,412.43/302,065.34
  6. Step 6: Final answer
    x = 229,211.97

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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.