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Finding the Fourth Proportional to 211,507.90, 317,245.02 and 85,059

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Solution

The fourth proportional to 211,507.90, 317,245.02 and 85,059 is: 127,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,507.90 : 317,245.02 = 85,059 : x
  2. Step 2: Convert to fraction form
    211,507.90/317,245.02 = 85,059/x
  3. Step 3: Cross multiply
    211,507.90x = 317,245.02 × 85,059
  4. Step 4: Simplify right side
    211,507.90x = 26,984,544,156.18
  5. Step 5: Solve for x
    x = 26,984,544,156.18/211,507.90
  6. Step 6: Final answer
    x = 127,581.73

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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.