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Finding the Fourth Proportional to 267,157.46, 400,611.62 and 154,869.80

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Solution

The fourth proportional to 267,157.46, 400,611.62 and 154,869.80 is: 232,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,157.46 : 400,611.62 = 154,869.80 : x
  2. Step 2: Convert to fraction form
    267,157.46/400,611.62 = 154,869.80/x
  3. Step 3: Cross multiply
    267,157.46x = 400,611.62 × 154,869.80
  4. Step 4: Simplify right side
    267,157.46x = 62,042,639,851.19
  5. Step 5: Solve for x
    x = 62,042,639,851.19/267,157.46
  6. Step 6: Final answer
    x = 232,232.48

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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.