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Finding the Fourth Proportional to 282,470.79, 389,817.31 and 166,192.38

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Solution

The fourth proportional to 282,470.79, 389,817.31 and 166,192.38 is: 229,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,470.79 : 389,817.31 = 166,192.38 : x
  2. Step 2: Convert to fraction form
    282,470.79/389,817.31 = 166,192.38/x
  3. Step 3: Cross multiply
    282,470.79x = 389,817.31 × 166,192.38
  4. Step 4: Simplify right side
    282,470.79x = 64,784,666,514.10
  5. Step 5: Solve for x
    x = 64,784,666,514.10/282,470.79
  6. Step 6: Final answer
    x = 229,349.97

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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.