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Finding the Fourth Proportional to 267,254.64, 400,914.92 and 87,335.80

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Solution

The fourth proportional to 267,254.64, 400,914.92 and 87,335.80 is: 131,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,254.64 : 400,914.92 = 87,335.80 : x
  2. Step 2: Convert to fraction form
    267,254.64/400,914.92 = 87,335.80/x
  3. Step 3: Cross multiply
    267,254.64x = 400,914.92 × 87,335.80
  4. Step 4: Simplify right side
    267,254.64x = 35,014,225,270.14
  5. Step 5: Solve for x
    x = 35,014,225,270.14/267,254.64
  6. Step 6: Final answer
    x = 131,014.47

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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.