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Finding the Fourth Proportional to 301,196.28, 415,654.08 and 165,230.46

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Solution

The fourth proportional to 301,196.28, 415,654.08 and 165,230.46 is: 228,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,196.28 : 415,654.08 = 165,230.46 : x
  2. Step 2: Convert to fraction form
    301,196.28/415,654.08 = 165,230.46/x
  3. Step 3: Cross multiply
    301,196.28x = 415,654.08 × 165,230.46
  4. Step 4: Simplify right side
    301,196.28x = 68,678,714,839.28
  5. Step 5: Solve for x
    x = 68,678,714,839.28/301,196.28
  6. Step 6: Final answer
    x = 228,019.80

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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.