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Finding the Fourth Proportional to 211,578.89, 317,364.96 and 85,216.16

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Solution

The fourth proportional to 211,578.89, 317,364.96 and 85,216.16 is: 127,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,578.89 : 317,364.96 = 85,216.16 : x
  2. Step 2: Convert to fraction form
    211,578.89/317,364.96 = 85,216.16/x
  3. Step 3: Cross multiply
    211,578.89x = 317,364.96 × 85,216.16
  4. Step 4: Simplify right side
    211,578.89x = 27,044,621,622.93
  5. Step 5: Solve for x
    x = 27,044,621,622.93/211,578.89
  6. Step 6: Final answer
    x = 127,822.88

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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.