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Finding the Fourth Proportional to 211,640.52, 317,462.56 and 53,869

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Solution

The fourth proportional to 211,640.52, 317,462.56 and 53,869 is: 80,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,640.52 : 317,462.56 = 53,869 : x
  2. Step 2: Convert to fraction form
    211,640.52/317,462.56 = 53,869/x
  3. Step 3: Cross multiply
    211,640.52x = 317,462.56 × 53,869
  4. Step 4: Simplify right side
    211,640.52x = 17,101,390,644.64
  5. Step 5: Solve for x
    x = 17,101,390,644.64/211,640.52
  6. Step 6: Final answer
    x = 80,803.95

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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.