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Finding the Fourth Proportional to 294,164.88, 405,887.40 and 166,806.96

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Solution

The fourth proportional to 294,164.88, 405,887.40 and 166,806.96 is: 230,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,164.88 : 405,887.40 = 166,806.96 : x
  2. Step 2: Convert to fraction form
    294,164.88/405,887.40 = 166,806.96/x
  3. Step 3: Cross multiply
    294,164.88x = 405,887.40 × 166,806.96
  4. Step 4: Simplify right side
    294,164.88x = 67,704,843,296.30
  5. Step 5: Solve for x
    x = 67,704,843,296.30/294,164.88
  6. Step 6: Final answer
    x = 230,159.51

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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.