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Finding the Fourth Proportional to 212,893.38, 293,787.41 and 117,393.84

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Solution

The fourth proportional to 212,893.38, 293,787.41 and 117,393.84 is: 162,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,893.38 : 293,787.41 = 117,393.84 : x
  2. Step 2: Convert to fraction form
    212,893.38/293,787.41 = 117,393.84/x
  3. Step 3: Cross multiply
    212,893.38x = 293,787.41 × 117,393.84
  4. Step 4: Simplify right side
    212,893.38x = 34,488,831,616.59
  5. Step 5: Solve for x
    x = 34,488,831,616.59/212,893.38
  6. Step 6: Final answer
    x = 162,000.49

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Why These Related Problems?

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