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Finding the Fourth Proportional to 301,302.61, 415,796.46 and 165,338.83

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Solution

The fourth proportional to 301,302.61, 415,796.46 and 165,338.83 is: 228,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,302.61 : 415,796.46 = 165,338.83 : x
  2. Step 2: Convert to fraction form
    301,302.61/415,796.46 = 165,338.83/x
  3. Step 3: Cross multiply
    301,302.61x = 415,796.46 × 165,338.83
  4. Step 4: Simplify right side
    301,302.61x = 68,747,300,214.54
  5. Step 5: Solve for x
    x = 68,747,300,214.54/301,302.61
  6. Step 6: Final answer
    x = 228,166.96

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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.