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Finding the Fourth Proportional to 140,096.50, 209,959.58 and 51,264.48

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Solution

The fourth proportional to 140,096.50, 209,959.58 and 51,264.48 is: 76,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,096.50 : 209,959.58 = 51,264.48 : x
  2. Step 2: Convert to fraction form
    140,096.50/209,959.58 = 51,264.48/x
  3. Step 3: Cross multiply
    140,096.50x = 209,959.58 × 51,264.48
  4. Step 4: Simplify right side
    140,096.50x = 10,763,468,689.72
  5. Step 5: Solve for x
    x = 10,763,468,689.72/140,096.50
  6. Step 6: Final answer
    x = 76,828.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.