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Finding the Fourth Proportional to 351,338.25, 527,021.96 and 102,020.25

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Solution

The fourth proportional to 351,338.25, 527,021.96 and 102,020.25 is: 153,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,338.25 : 527,021.96 = 102,020.25 : x
  2. Step 2: Convert to fraction form
    351,338.25/527,021.96 = 102,020.25/x
  3. Step 3: Cross multiply
    351,338.25x = 527,021.96 × 102,020.25
  4. Step 4: Simplify right side
    351,338.25x = 53,766,911,604.59
  5. Step 5: Solve for x
    x = 53,766,911,604.59/351,338.25
  6. Step 6: Final answer
    x = 153,034.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.