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Finding the Fourth Proportional to 302,052.08, 416,842.58 and 166,096.38

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Solution

The fourth proportional to 302,052.08, 416,842.58 and 166,096.38 is: 229,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,052.08 : 416,842.58 = 166,096.38 : x
  2. Step 2: Convert to fraction form
    302,052.08/416,842.58 = 166,096.38/x
  3. Step 3: Cross multiply
    302,052.08x = 416,842.58 × 166,096.38
  4. Step 4: Simplify right side
    302,052.08x = 69,236,043,567.86
  5. Step 5: Solve for x
    x = 69,236,043,567.86/302,052.08
  6. Step 6: Final answer
    x = 229,218.89

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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.