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Finding the Fourth Proportional to 301,076.49, 415,494.72 and 165,116.10

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Solution

The fourth proportional to 301,076.49, 415,494.72 and 165,116.10 is: 227,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,076.49 : 415,494.72 = 165,116.10 : x
  2. Step 2: Convert to fraction form
    301,076.49/415,494.72 = 165,116.10/x
  3. Step 3: Cross multiply
    301,076.49x = 415,494.72 × 165,116.10
  4. Step 4: Simplify right side
    301,076.49x = 68,604,867,736.99
  5. Step 5: Solve for x
    x = 68,604,867,736.99/301,076.49
  6. Step 6: Final answer
    x = 227,865.24

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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.