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Finding the Fourth Proportional to 183,853.32, 275,711.94 and 65,493.24

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Solution

The fourth proportional to 183,853.32, 275,711.94 and 65,493.24 is: 98,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,853.32 : 275,711.94 = 65,493.24 : x
  2. Step 2: Convert to fraction form
    183,853.32/275,711.94 = 65,493.24/x
  3. Step 3: Cross multiply
    183,853.32x = 275,711.94 × 65,493.24
  4. Step 4: Simplify right side
    183,853.32x = 18,057,268,257.29
  5. Step 5: Solve for x
    x = 18,057,268,257.29/183,853.32
  6. Step 6: Final answer
    x = 98,215.62

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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.