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Finding the Fourth Proportional to 230,232.80, 317,716.47 and 128,258.12

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Solution

The fourth proportional to 230,232.80, 317,716.47 and 128,258.12 is: 176,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,232.80 : 317,716.47 = 128,258.12 : x
  2. Step 2: Convert to fraction form
    230,232.80/317,716.47 = 128,258.12/x
  3. Step 3: Cross multiply
    230,232.80x = 317,716.47 × 128,258.12
  4. Step 4: Simplify right side
    230,232.80x = 40,749,715,546.65
  5. Step 5: Solve for x
    x = 40,749,715,546.65/230,232.80
  6. Step 6: Final answer
    x = 176,993.53

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