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Finding the Fourth Proportional to 107,954.80, 162,072.52 and 83,012.36

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Solution

The fourth proportional to 107,954.80, 162,072.52 and 83,012.36 is: 124,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,954.80 : 162,072.52 = 83,012.36 : x
  2. Step 2: Convert to fraction form
    107,954.80/162,072.52 = 83,012.36/x
  3. Step 3: Cross multiply
    107,954.80x = 162,072.52 × 83,012.36
  4. Step 4: Simplify right side
    107,954.80x = 13,454,022,376.35
  5. Step 5: Solve for x
    x = 13,454,022,376.35/107,954.80
  6. Step 6: Final answer
    x = 124,626.44

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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.