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Finding the Fourth Proportional to 129,297.90, 178,455.68 and 80,922.33

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Solution

The fourth proportional to 129,297.90, 178,455.68 and 80,922.33 is: 111,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,297.90 : 178,455.68 = 80,922.33 : x
  2. Step 2: Convert to fraction form
    129,297.90/178,455.68 = 80,922.33/x
  3. Step 3: Cross multiply
    129,297.90x = 178,455.68 × 80,922.33
  4. Step 4: Simplify right side
    129,297.90x = 14,441,049,427.33
  5. Step 5: Solve for x
    x = 14,441,049,427.33/129,297.90
  6. Step 6: Final answer
    x = 111,688.20

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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.