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Finding the Fourth Proportional to 207,846.10, 311,769.15 and 74,730.70

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Solution

The fourth proportional to 207,846.10, 311,769.15 and 74,730.70 is: 112,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846.10 : 311,769.15 = 74,730.70 : x
  2. Step 2: Convert to fraction form
    207,846.10/311,769.15 = 74,730.70/x
  3. Step 3: Cross multiply
    207,846.10x = 311,769.15 × 74,730.70
  4. Step 4: Simplify right side
    207,846.10x = 23,298,726,817.91
  5. Step 5: Solve for x
    x = 23,298,726,817.91/207,846.10
  6. Step 6: Final answer
    x = 112,096.05

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Why These Related Problems?

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