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Finding the Fourth Proportional to 211,884.60, 317,826.60 and 54,113.16

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Solution

The fourth proportional to 211,884.60, 317,826.60 and 54,113.16 is: 81,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,884.60 : 317,826.60 = 54,113.16 : x
  2. Step 2: Convert to fraction form
    211,884.60/317,826.60 = 54,113.16/x
  3. Step 3: Cross multiply
    211,884.60x = 317,826.60 × 54,113.16
  4. Step 4: Simplify right side
    211,884.60x = 17,198,601,658.06
  5. Step 5: Solve for x
    x = 17,198,601,658.06/211,884.60
  6. Step 6: Final answer
    x = 81,169.66

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Why These Related Problems?

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