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Finding the Fourth Proportional to 178,607.76, 267,908.40 and 150,706.32

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Solution

The fourth proportional to 178,607.76, 267,908.40 and 150,706.32 is: 226,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,607.76 : 267,908.40 = 150,706.32 : x
  2. Step 2: Convert to fraction form
    178,607.76/267,908.40 = 150,706.32/x
  3. Step 3: Cross multiply
    178,607.76x = 267,908.40 × 150,706.32
  4. Step 4: Simplify right side
    178,607.76x = 40,375,489,061.09
  5. Step 5: Solve for x
    x = 40,375,489,061.09/178,607.76
  6. Step 6: Final answer
    x = 226,056.75

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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.