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Finding the Fourth Proportional to 207,695.91, 311,596.47 and 57,936.18

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Solution

The fourth proportional to 207,695.91, 311,596.47 and 57,936.18 is: 86,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,695.91 : 311,596.47 = 57,936.18 : x
  2. Step 2: Convert to fraction form
    207,695.91/311,596.47 = 57,936.18/x
  3. Step 3: Cross multiply
    207,695.91x = 311,596.47 × 57,936.18
  4. Step 4: Simplify right side
    207,695.91x = 18,052,709,173.28
  5. Step 5: Solve for x
    x = 18,052,709,173.28/207,695.91
  6. Step 6: Final answer
    x = 86,918.94

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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.