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Finding the Fourth Proportional to 200,711.16, 277,057.26 and 172,302.84

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Solution

The fourth proportional to 200,711.16, 277,057.26 and 172,302.84 is: 237,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,711.16 : 277,057.26 = 172,302.84 : x
  2. Step 2: Convert to fraction form
    200,711.16/277,057.26 = 172,302.84/x
  3. Step 3: Cross multiply
    200,711.16x = 277,057.26 × 172,302.84
  4. Step 4: Simplify right side
    200,711.16x = 47,737,752,740.62
  5. Step 5: Solve for x
    x = 47,737,752,740.62/200,711.16
  6. Step 6: Final answer
    x = 237,843.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.