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Finding the Fourth Proportional to 140,873.32, 211,232.22 and 57,825.64

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Solution

The fourth proportional to 140,873.32, 211,232.22 and 57,825.64 is: 86,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,873.32 : 211,232.22 = 57,825.64 : x
  2. Step 2: Convert to fraction form
    140,873.32/211,232.22 = 57,825.64/x
  3. Step 3: Cross multiply
    140,873.32x = 211,232.22 × 57,825.64
  4. Step 4: Simplify right side
    140,873.32x = 12,214,638,310.12
  5. Step 5: Solve for x
    x = 12,214,638,310.12/140,873.32
  6. Step 6: Final answer
    x = 86,706.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.