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Finding the Fourth Proportional to 267,276.32, 400,564.56 and 109,319.84

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Solution

The fourth proportional to 267,276.32, 400,564.56 and 109,319.84 is: 163,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,276.32 : 400,564.56 = 109,319.84 : x
  2. Step 2: Convert to fraction form
    267,276.32/400,564.56 = 109,319.84/x
  3. Step 3: Cross multiply
    267,276.32x = 400,564.56 × 109,319.84
  4. Step 4: Simplify right side
    267,276.32x = 43,789,653,608.87
  5. Step 5: Solve for x
    x = 43,789,653,608.87/267,276.32
  6. Step 6: Final answer
    x = 163,836.64

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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.