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Finding the Fourth Proportional to 117,728.40, 176,851.80 and 82,736.40

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Solution

The fourth proportional to 117,728.40, 176,851.80 and 82,736.40 is: 124,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,728.40 : 176,851.80 = 82,736.40 : x
  2. Step 2: Convert to fraction form
    117,728.40/176,851.80 = 82,736.40/x
  3. Step 3: Cross multiply
    117,728.40x = 176,851.80 × 82,736.40
  4. Step 4: Simplify right side
    117,728.40x = 14,632,081,265.52
  5. Step 5: Solve for x
    x = 14,632,081,265.52/117,728.40
  6. Step 6: Final answer
    x = 124,286.76

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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.