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Finding the Fourth Proportional to 207,898.10, 311,847.15 and 74,782.70

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Solution

The fourth proportional to 207,898.10, 311,847.15 and 74,782.70 is: 112,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,898.10 : 311,847.15 = 74,782.70 : x
  2. Step 2: Convert to fraction form
    207,898.10/311,847.15 = 74,782.70/x
  3. Step 3: Cross multiply
    207,898.10x = 311,847.15 × 74,782.70
  4. Step 4: Simplify right side
    207,898.10x = 23,320,771,864.31
  5. Step 5: Solve for x
    x = 23,320,771,864.31/207,898.10
  6. Step 6: Final answer
    x = 112,174.05

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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.