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Finding the Fourth Proportional to 166,136, 248,796.84 and 150,160.64

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Solution

The fourth proportional to 166,136, 248,796.84 and 150,160.64 is: 224,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,136 : 248,796.84 = 150,160.64 : x
  2. Step 2: Convert to fraction form
    166,136/248,796.84 = 150,160.64/x
  3. Step 3: Cross multiply
    166,136x = 248,796.84 × 150,160.64
  4. Step 4: Simplify right side
    166,136x = 37,359,492,724.38
  5. Step 5: Solve for x
    x = 37,359,492,724.38/166,136
  6. Step 6: Final answer
    x = 224,872.95

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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.