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Finding the Fourth Proportional to 267,200.64, 400,822.02 and 89,706.96

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Solution

The fourth proportional to 267,200.64, 400,822.02 and 89,706.96 is: 134,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,200.64 : 400,822.02 = 89,706.96 : x
  2. Step 2: Convert to fraction form
    267,200.64/400,822.02 = 89,706.96/x
  3. Step 3: Cross multiply
    267,200.64x = 400,822.02 × 89,706.96
  4. Step 4: Simplify right side
    267,200.64x = 35,956,524,915.26
  5. Step 5: Solve for x
    x = 35,956,524,915.26/267,200.64
  6. Step 6: Final answer
    x = 134,567.51

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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.