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Finding the Fourth Proportional to 252,333, 378,499.56 and 102,654.72

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Solution

The fourth proportional to 252,333, 378,499.56 and 102,654.72 is: 153,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,333 : 378,499.56 = 102,654.72 : x
  2. Step 2: Convert to fraction form
    252,333/378,499.56 = 102,654.72/x
  3. Step 3: Cross multiply
    252,333x = 378,499.56 × 102,654.72
  4. Step 4: Simplify right side
    252,333x = 38,854,766,351.92
  5. Step 5: Solve for x
    x = 38,854,766,351.92/252,333
  6. Step 6: Final answer
    x = 153,982.10

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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.