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Finding the Fourth Proportional to 117,414, 162,031.32 and 67,114.08

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Solution

The fourth proportional to 117,414, 162,031.32 and 67,114.08 is: 92,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,414 : 162,031.32 = 67,114.08 : x
  2. Step 2: Convert to fraction form
    117,414/162,031.32 = 67,114.08/x
  3. Step 3: Cross multiply
    117,414x = 162,031.32 × 67,114.08
  4. Step 4: Simplify right side
    117,414x = 10,874,582,972.99
  5. Step 5: Solve for x
    x = 10,874,582,972.99/117,414
  6. Step 6: Final answer
    x = 92,617.43

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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.