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Finding the Fourth Proportional to 252,898.12, 379,020.16 and 189,218.62

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Solution

The fourth proportional to 252,898.12, 379,020.16 and 189,218.62 is: 283,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,898.12 : 379,020.16 = 189,218.62 : x
  2. Step 2: Convert to fraction form
    252,898.12/379,020.16 = 189,218.62/x
  3. Step 3: Cross multiply
    252,898.12x = 379,020.16 × 189,218.62
  4. Step 4: Simplify right side
    252,898.12x = 71,717,670,205.69
  5. Step 5: Solve for x
    x = 71,717,670,205.69/252,898.12
  6. Step 6: Final answer
    x = 283,583.25

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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.