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Finding the Fourth Proportional to 120,317.10, 166,039.68 and 65,874.06

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Solution

The fourth proportional to 120,317.10, 166,039.68 and 65,874.06 is: 90,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,317.10 : 166,039.68 = 65,874.06 : x
  2. Step 2: Convert to fraction form
    120,317.10/166,039.68 = 65,874.06/x
  3. Step 3: Cross multiply
    120,317.10x = 166,039.68 × 65,874.06
  4. Step 4: Simplify right side
    120,317.10x = 10,937,707,842.70
  5. Step 5: Solve for x
    x = 10,937,707,842.70/120,317.10
  6. Step 6: Final answer
    x = 90,907.34

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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.