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Finding the Fourth Proportional to 117,414, 176,146.92 and 43,542

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Solution

The fourth proportional to 117,414, 176,146.92 and 43,542 is: 65,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,414 : 176,146.92 = 43,542 : x
  2. Step 2: Convert to fraction form
    117,414/176,146.92 = 43,542/x
  3. Step 3: Cross multiply
    117,414x = 176,146.92 × 43,542
  4. Step 4: Simplify right side
    117,414x = 7,669,789,190.64
  5. Step 5: Solve for x
    x = 7,669,789,190.64/117,414
  6. Step 6: Final answer
    x = 65,322.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.