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Finding the Fourth Proportional to 142,891.20, 214,336.80 and 90,532.80

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Solution

The fourth proportional to 142,891.20, 214,336.80 and 90,532.80 is: 135,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,891.20 : 214,336.80 = 90,532.80 : x
  2. Step 2: Convert to fraction form
    142,891.20/214,336.80 = 90,532.80/x
  3. Step 3: Cross multiply
    142,891.20x = 214,336.80 × 90,532.80
  4. Step 4: Simplify right side
    142,891.20x = 19,404,510,647.04
  5. Step 5: Solve for x
    x = 19,404,510,647.04/142,891.20
  6. Step 6: Final answer
    x = 135,799.20

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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.