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Finding the Fourth Proportional to 207,751.35, 311,571.59 and 57,965.31

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Solution

The fourth proportional to 207,751.35, 311,571.59 and 57,965.31 is: 86,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,751.35 : 311,571.59 = 57,965.31 : x
  2. Step 2: Convert to fraction form
    207,751.35/311,571.59 = 57,965.31/x
  3. Step 3: Cross multiply
    207,751.35x = 311,571.59 × 57,965.31
  4. Step 4: Simplify right side
    207,751.35x = 18,060,343,511.72
  5. Step 5: Solve for x
    x = 18,060,343,511.72/207,751.35
  6. Step 6: Final answer
    x = 86,932.50

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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.