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Finding the Fourth Proportional to 252,204.62, 378,212.62 and 83,693.54

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Solution

The fourth proportional to 252,204.62, 378,212.62 and 83,693.54 is: 125,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,204.62 : 378,212.62 = 83,693.54 : x
  2. Step 2: Convert to fraction form
    252,204.62/378,212.62 = 83,693.54/x
  3. Step 3: Cross multiply
    252,204.62x = 378,212.62 × 83,693.54
  4. Step 4: Simplify right side
    252,204.62x = 31,653,950,730.94
  5. Step 5: Solve for x
    x = 31,653,950,730.94/252,204.62
  6. Step 6: Final answer
    x = 125,509.00

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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.