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Finding the Fourth Proportional to 207,692, 311,589.84 and 59,948

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Solution

The fourth proportional to 207,692, 311,589.84 and 59,948 is: 89,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,692 : 311,589.84 = 59,948 : x
  2. Step 2: Convert to fraction form
    207,692/311,589.84 = 59,948/x
  3. Step 3: Cross multiply
    207,692x = 311,589.84 × 59,948
  4. Step 4: Simplify right side
    207,692x = 18,679,187,728.32
  5. Step 5: Solve for x
    x = 18,679,187,728.32/207,692
  6. Step 6: Final answer
    x = 89,936.96

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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.