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Finding the Fourth Proportional to 223,824.64, 335,703.85 and 81,636.64

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Solution

The fourth proportional to 223,824.64, 335,703.85 and 81,636.64 is: 122,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,824.64 : 335,703.85 = 81,636.64 : x
  2. Step 2: Convert to fraction form
    223,824.64/335,703.85 = 81,636.64/x
  3. Step 3: Cross multiply
    223,824.64x = 335,703.85 × 81,636.64
  4. Step 4: Simplify right side
    223,824.64x = 27,405,734,349.06
  5. Step 5: Solve for x
    x = 27,405,734,349.06/223,824.64
  6. Step 6: Final answer
    x = 122,442.88

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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.