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Finding the Fourth Proportional to 117,992, 162,828.96 and 65,000

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Solution

The fourth proportional to 117,992, 162,828.96 and 65,000 is: 89,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,992 : 162,828.96 = 65,000 : x
  2. Step 2: Convert to fraction form
    117,992/162,828.96 = 65,000/x
  3. Step 3: Cross multiply
    117,992x = 162,828.96 × 65,000
  4. Step 4: Simplify right side
    117,992x = 10,583,882,400
  5. Step 5: Solve for x
    x = 10,583,882,400/117,992
  6. Step 6: Final answer
    x = 89,700

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.