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Finding the Fourth Proportional to 301,188.92, 415,644.58 and 165,214.04

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Solution

The fourth proportional to 301,188.92, 415,644.58 and 165,214.04 is: 227,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,188.92 : 415,644.58 = 165,214.04 : x
  2. Step 2: Convert to fraction form
    301,188.92/415,644.58 = 165,214.04/x
  3. Step 3: Cross multiply
    301,188.92x = 415,644.58 × 165,214.04
  4. Step 4: Simplify right side
    301,188.92x = 68,670,320,265.90
  5. Step 5: Solve for x
    x = 68,670,320,265.90/301,188.92
  6. Step 6: Final answer
    x = 227,997.50

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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.