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Finding the Fourth Proportional to 282,470.86, 389,817.39 and 166,192.44

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Solution

The fourth proportional to 282,470.86, 389,817.39 and 166,192.44 is: 229,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,470.86 : 389,817.39 = 166,192.44 : x
  2. Step 2: Convert to fraction form
    282,470.86/389,817.39 = 166,192.44/x
  3. Step 3: Cross multiply
    282,470.86x = 389,817.39 × 166,192.44
  4. Step 4: Simplify right side
    282,470.86x = 64,784,703,614.01
  5. Step 5: Solve for x
    x = 64,784,703,614.01/282,470.86
  6. Step 6: Final answer
    x = 229,350.05

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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.