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Finding the Fourth Proportional to 301,035.02, 415,433.00 and 165,081.38

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Solution

The fourth proportional to 301,035.02, 415,433.00 and 165,081.38 is: 227,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,035.02 : 415,433.00 = 165,081.38 : x
  2. Step 2: Convert to fraction form
    301,035.02/415,433.00 = 165,081.38/x
  3. Step 3: Cross multiply
    301,035.02x = 415,433.00 × 165,081.38
  4. Step 4: Simplify right side
    301,035.02x = 68,580,251,273.08
  5. Step 5: Solve for x
    x = 68,580,251,273.08/301,035.02
  6. Step 6: Final answer
    x = 227,814.86

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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.