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Finding the Fourth Proportional to 301,196.97, 415,655.01 and 165,231.18

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Solution

The fourth proportional to 301,196.97, 415,655.01 and 165,231.18 is: 228,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,196.97 : 415,655.01 = 165,231.18 : x
  2. Step 2: Convert to fraction form
    301,196.97/415,655.01 = 165,231.18/x
  3. Step 3: Cross multiply
    301,196.97x = 415,655.01 × 165,231.18
  4. Step 4: Simplify right side
    301,196.97x = 68,679,167,775.21
  5. Step 5: Solve for x
    x = 68,679,167,775.21/301,196.97
  6. Step 6: Final answer
    x = 228,020.78

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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.