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Finding the Fourth Proportional to 301,299.96, 415,798.38 and 165,347.40

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Solution

The fourth proportional to 301,299.96, 415,798.38 and 165,347.40 is: 228,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,299.96 : 415,798.38 = 165,347.40 : x
  2. Step 2: Convert to fraction form
    301,299.96/415,798.38 = 165,347.40/x
  3. Step 3: Cross multiply
    301,299.96x = 415,798.38 × 165,347.40
  4. Step 4: Simplify right side
    301,299.96x = 68,751,181,057.21
  5. Step 5: Solve for x
    x = 68,751,181,057.21/301,299.96
  6. Step 6: Final answer
    x = 228,181.85

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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.