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Finding the Fourth Proportional to 301,337.02, 415,835.73 and 165,367.48

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Solution

The fourth proportional to 301,337.02, 415,835.73 and 165,367.48 is: 228,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,337.02 : 415,835.73 = 165,367.48 : x
  2. Step 2: Convert to fraction form
    301,337.02/415,835.73 = 165,367.48/x
  3. Step 3: Cross multiply
    301,337.02x = 415,835.73 × 165,367.48
  4. Step 4: Simplify right side
    301,337.02x = 68,765,704,460.87
  5. Step 5: Solve for x
    x = 68,765,704,460.87/301,337.02
  6. Step 6: Final answer
    x = 228,201.98

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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.