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Finding the Fourth Proportional to 207,764.10, 311,646.16 and 49,992.56

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Solution

The fourth proportional to 207,764.10, 311,646.16 and 49,992.56 is: 74,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,764.10 : 311,646.16 = 49,992.56 : x
  2. Step 2: Convert to fraction form
    207,764.10/311,646.16 = 49,992.56/x
  3. Step 3: Cross multiply
    207,764.10x = 311,646.16 × 49,992.56
  4. Step 4: Simplify right side
    207,764.10x = 15,579,989,352.57
  5. Step 5: Solve for x
    x = 15,579,989,352.57/207,764.10
  6. Step 6: Final answer
    x = 74,988.84

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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.