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Finding the Fourth Proportional to 199,392.64, 275,154.24 and 109,968.64

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Solution

The fourth proportional to 199,392.64, 275,154.24 and 109,968.64 is: 151,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,392.64 : 275,154.24 = 109,968.64 : x
  2. Step 2: Convert to fraction form
    199,392.64/275,154.24 = 109,968.64/x
  3. Step 3: Cross multiply
    199,392.64x = 275,154.24 × 109,968.64
  4. Step 4: Simplify right side
    199,392.64x = 30,258,337,563.03
  5. Step 5: Solve for x
    x = 30,258,337,563.03/199,392.64
  6. Step 6: Final answer
    x = 151,752.53

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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.