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Finding the Fourth Proportional to 227,993.48, 341,996.04 and 108,022.32

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Solution

The fourth proportional to 227,993.48, 341,996.04 and 108,022.32 is: 162,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,993.48 : 341,996.04 = 108,022.32 : x
  2. Step 2: Convert to fraction form
    227,993.48/341,996.04 = 108,022.32/x
  3. Step 3: Cross multiply
    227,993.48x = 341,996.04 × 108,022.32
  4. Step 4: Simplify right side
    227,993.48x = 36,943,205,671.61
  5. Step 5: Solve for x
    x = 36,943,205,671.61/227,993.48
  6. Step 6: Final answer
    x = 162,036.24

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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.