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Finding the Fourth Proportional to 142,605, 196,846.74 and 82,989

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Solution

The fourth proportional to 142,605, 196,846.74 and 82,989 is: 114,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605 : 196,846.74 = 82,989 : x
  2. Step 2: Convert to fraction form
    142,605/196,846.74 = 82,989/x
  3. Step 3: Cross multiply
    142,605x = 196,846.74 × 82,989
  4. Step 4: Simplify right side
    142,605x = 16,336,114,105.86
  5. Step 5: Solve for x
    x = 16,336,114,105.86/142,605
  6. Step 6: Final answer
    x = 114,554.99

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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.