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Finding the Fourth Proportional to 230,182.77, 317,662.03 and 128,208.21

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Solution

The fourth proportional to 230,182.77, 317,662.03 and 128,208.21 is: 176,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,182.77 : 317,662.03 = 128,208.21 : x
  2. Step 2: Convert to fraction form
    230,182.77/317,662.03 = 128,208.21/x
  3. Step 3: Cross multiply
    230,182.77x = 317,662.03 × 128,208.21
  4. Step 4: Simplify right side
    230,182.77x = 40,726,880,251.27
  5. Step 5: Solve for x
    x = 40,726,880,251.27/230,182.77
  6. Step 6: Final answer
    x = 176,932.79

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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.