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Finding the Fourth Proportional to 363,132, 501,122.16 and 204,156

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Solution

The fourth proportional to 363,132, 501,122.16 and 204,156 is: 281,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,132 : 501,122.16 = 204,156 : x
  2. Step 2: Convert to fraction form
    363,132/501,122.16 = 204,156/x
  3. Step 3: Cross multiply
    363,132x = 501,122.16 × 204,156
  4. Step 4: Simplify right side
    363,132x = 102,307,095,696.96
  5. Step 5: Solve for x
    x = 102,307,095,696.96/363,132
  6. Step 6: Final answer
    x = 281,735.28

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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.