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Finding the Fourth Proportional to 178,527.30, 246,367.68 and 102,048

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Solution

The fourth proportional to 178,527.30, 246,367.68 and 102,048 is: 140,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,527.30 : 246,367.68 = 102,048 : x
  2. Step 2: Convert to fraction form
    178,527.30/246,367.68 = 102,048/x
  3. Step 3: Cross multiply
    178,527.30x = 246,367.68 × 102,048
  4. Step 4: Simplify right side
    178,527.30x = 25,141,329,008.64
  5. Step 5: Solve for x
    x = 25,141,329,008.64/178,527.30
  6. Step 6: Final answer
    x = 140,826.24

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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.