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Finding the Fourth Proportional to 199,388.64, 275,148.72 and 109,964.64

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Solution

The fourth proportional to 199,388.64, 275,148.72 and 109,964.64 is: 151,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,388.64 : 275,148.72 = 109,964.64 : x
  2. Step 2: Convert to fraction form
    199,388.64/275,148.72 = 109,964.64/x
  3. Step 3: Cross multiply
    199,388.64x = 275,148.72 × 109,964.64
  4. Step 4: Simplify right side
    199,388.64x = 30,256,629,941.26
  5. Step 5: Solve for x
    x = 30,256,629,941.26/199,388.64
  6. Step 6: Final answer
    x = 151,747.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.