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Finding the Fourth Proportional to 129,145.64, 178,149.03 and 120,012.32

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Solution

The fourth proportional to 129,145.64, 178,149.03 and 120,012.32 is: 165,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,145.64 : 178,149.03 = 120,012.32 : x
  2. Step 2: Convert to fraction form
    129,145.64/178,149.03 = 120,012.32/x
  3. Step 3: Cross multiply
    129,145.64x = 178,149.03 × 120,012.32
  4. Step 4: Simplify right side
    129,145.64x = 21,380,078,396.05
  5. Step 5: Solve for x
    x = 21,380,078,396.05/129,145.64
  6. Step 6: Final answer
    x = 165,550.14

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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.