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Finding the Fourth Proportional to 294,159.93, 405,923.68 and 165,086.38

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Solution

The fourth proportional to 294,159.93, 405,923.68 and 165,086.38 is: 227,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,159.93 : 405,923.68 = 165,086.38 : x
  2. Step 2: Convert to fraction form
    294,159.93/405,923.68 = 165,086.38/x
  3. Step 3: Cross multiply
    294,159.93x = 405,923.68 × 165,086.38
  4. Step 4: Simplify right side
    294,159.93x = 67,012,469,995.28
  5. Step 5: Solve for x
    x = 67,012,469,995.28/294,159.93
  6. Step 6: Final answer
    x = 227,809.65

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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.