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Finding the Fourth Proportional to 273,202.98, 377,046.99 and 165,764.58

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Solution

The fourth proportional to 273,202.98, 377,046.99 and 165,764.58 is: 228,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,202.98 : 377,046.99 = 165,764.58 : x
  2. Step 2: Convert to fraction form
    273,202.98/377,046.99 = 165,764.58/x
  3. Step 3: Cross multiply
    273,202.98x = 377,046.99 × 165,764.58
  4. Step 4: Simplify right side
    273,202.98x = 62,501,035,937.61
  5. Step 5: Solve for x
    x = 62,501,035,937.61/273,202.98
  6. Step 6: Final answer
    x = 228,771.43

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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.