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Finding the Fourth Proportional to 144,914.40, 217,371.60 and 82,706.40

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Solution

The fourth proportional to 144,914.40, 217,371.60 and 82,706.40 is: 124,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,914.40 : 217,371.60 = 82,706.40 : x
  2. Step 2: Convert to fraction form
    144,914.40/217,371.60 = 82,706.40/x
  3. Step 3: Cross multiply
    144,914.40x = 217,371.60 × 82,706.40
  4. Step 4: Simplify right side
    144,914.40x = 17,978,022,498.24
  5. Step 5: Solve for x
    x = 17,978,022,498.24/144,914.40
  6. Step 6: Final answer
    x = 124,059.60

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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.