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Finding the Fourth Proportional to 211,594.64, 317,390.52 and 53,821.68

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Solution

The fourth proportional to 211,594.64, 317,390.52 and 53,821.68 is: 80,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,594.64 : 317,390.52 = 53,821.68 : x
  2. Step 2: Convert to fraction form
    211,594.64/317,390.52 = 53,821.68/x
  3. Step 3: Cross multiply
    211,594.64x = 317,390.52 × 53,821.68
  4. Step 4: Simplify right side
    211,594.64x = 17,082,491,002.47
  5. Step 5: Solve for x
    x = 17,082,491,002.47/211,594.64
  6. Step 6: Final answer
    x = 80,732.15

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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.