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Finding the Fourth Proportional to 282,469.79, 389,815.93 and 166,191.38

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Solution

The fourth proportional to 282,469.79, 389,815.93 and 166,191.38 is: 229,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,469.79 : 389,815.93 = 166,191.38 : x
  2. Step 2: Convert to fraction form
    282,469.79/389,815.93 = 166,191.38/x
  3. Step 3: Cross multiply
    282,469.79x = 389,815.93 × 166,191.38
  4. Step 4: Simplify right side
    282,469.79x = 64,784,045,303.55
  5. Step 5: Solve for x
    x = 64,784,045,303.55/282,469.79
  6. Step 6: Final answer
    x = 229,348.58

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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.