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Finding the Fourth Proportional to 297,942.93, 411,164.71 and 161,973.89

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Solution

The fourth proportional to 297,942.93, 411,164.71 and 161,973.89 is: 223,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,942.93 : 411,164.71 = 161,973.89 : x
  2. Step 2: Convert to fraction form
    297,942.93/411,164.71 = 161,973.89/x
  3. Step 3: Cross multiply
    297,942.93x = 411,164.71 × 161,973.89
  4. Step 4: Simplify right side
    297,942.93x = 66,597,948,193.72
  5. Step 5: Solve for x
    x = 66,597,948,193.72/297,942.93
  6. Step 6: Final answer
    x = 223,525.86

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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.