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Finding the Fourth Proportional to 331,154, 456,992.52 and 180,252.08

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Solution

The fourth proportional to 331,154, 456,992.52 and 180,252.08 is: 248,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,154 : 456,992.52 = 180,252.08 : x
  2. Step 2: Convert to fraction form
    331,154/456,992.52 = 180,252.08/x
  3. Step 3: Cross multiply
    331,154x = 456,992.52 × 180,252.08
  4. Step 4: Simplify right side
    331,154x = 82,373,852,274.44
  5. Step 5: Solve for x
    x = 82,373,852,274.44/331,154
  6. Step 6: Final answer
    x = 248,747.87

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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.