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Finding the Fourth Proportional to 142,745.60, 213,972.60 and 83,550.80

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Solution

The fourth proportional to 142,745.60, 213,972.60 and 83,550.80 is: 125,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.60 : 213,972.60 = 83,550.80 : x
  2. Step 2: Convert to fraction form
    142,745.60/213,972.60 = 83,550.80/x
  3. Step 3: Cross multiply
    142,745.60x = 213,972.60 × 83,550.80
  4. Step 4: Simplify right side
    142,745.60x = 17,877,581,908.08
  5. Step 5: Solve for x
    x = 17,877,581,908.08/142,745.60
  6. Step 6: Final answer
    x = 125,240.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.