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Finding the Fourth Proportional to 117,716.40, 176,833.80 and 82,724.40

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Solution

The fourth proportional to 117,716.40, 176,833.80 and 82,724.40 is: 124,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,716.40 : 176,833.80 = 82,724.40 : x
  2. Step 2: Convert to fraction form
    117,716.40/176,833.80 = 82,724.40/x
  3. Step 3: Cross multiply
    117,716.40x = 176,833.80 × 82,724.40
  4. Step 4: Simplify right side
    117,716.40x = 14,628,470,004.72
  5. Step 5: Solve for x
    x = 14,628,470,004.72/117,716.40
  6. Step 6: Final answer
    x = 124,268.75

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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.