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Finding the Fourth Proportional to 206,269.70, 284,597.31 and 119,032.70

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Solution

The fourth proportional to 206,269.70, 284,597.31 and 119,032.70 is: 164,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,269.70 : 284,597.31 = 119,032.70 : x
  2. Step 2: Convert to fraction form
    206,269.70/284,597.31 = 119,032.70/x
  3. Step 3: Cross multiply
    206,269.70x = 284,597.31 × 119,032.70
  4. Step 4: Simplify right side
    206,269.70x = 33,876,386,222.04
  5. Step 5: Solve for x
    x = 33,876,386,222.04/206,269.70
  6. Step 6: Final answer
    x = 164,233.46

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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.