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Finding the Fourth Proportional to 165,239, 228,029.36 and 89,787.48

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Solution

The fourth proportional to 165,239, 228,029.36 and 89,787.48 is: 123,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,239 : 228,029.36 = 89,787.48 : x
  2. Step 2: Convert to fraction form
    165,239/228,029.36 = 89,787.48/x
  3. Step 3: Cross multiply
    165,239x = 228,029.36 × 89,787.48
  4. Step 4: Simplify right side
    165,239x = 20,474,181,600.41
  5. Step 5: Solve for x
    x = 20,474,181,600.41/165,239
  6. Step 6: Final answer
    x = 123,906.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.