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Finding the Fourth Proportional to 142,989.39, 214,442.96 and 57,600

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Solution

The fourth proportional to 142,989.39, 214,442.96 and 57,600 is: 86,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,989.39 : 214,442.96 = 57,600 : x
  2. Step 2: Convert to fraction form
    142,989.39/214,442.96 = 57,600/x
  3. Step 3: Cross multiply
    142,989.39x = 214,442.96 × 57,600
  4. Step 4: Simplify right side
    142,989.39x = 12,351,914,208
  5. Step 5: Solve for x
    x = 12,351,914,208/142,989.39
  6. Step 6: Final answer
    x = 86,383.43

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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.