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Finding the Fourth Proportional to 177,846.70, 266,964.45 and 111,361.90

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Solution

The fourth proportional to 177,846.70, 266,964.45 and 111,361.90 is: 167,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,846.70 : 266,964.45 = 111,361.90 : x
  2. Step 2: Convert to fraction form
    177,846.70/266,964.45 = 111,361.90/x
  3. Step 3: Cross multiply
    177,846.70x = 266,964.45 × 111,361.90
  4. Step 4: Simplify right side
    177,846.70x = 29,729,668,384.46
  5. Step 5: Solve for x
    x = 29,729,668,384.46/177,846.70
  6. Step 6: Final answer
    x = 167,164.58

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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.