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Finding the Fourth Proportional to 177,441.80, 266,162.70 and 164,611.40

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Solution

The fourth proportional to 177,441.80, 266,162.70 and 164,611.40 is: 246,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,441.80 : 266,162.70 = 164,611.40 : x
  2. Step 2: Convert to fraction form
    177,441.80/266,162.70 = 164,611.40/x
  3. Step 3: Cross multiply
    177,441.80x = 266,162.70 × 164,611.40
  4. Step 4: Simplify right side
    177,441.80x = 43,813,414,674.78
  5. Step 5: Solve for x
    x = 43,813,414,674.78/177,441.80
  6. Step 6: Final answer
    x = 246,917.10

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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.