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Finding the Fourth Proportional to 211,410.53, 317,168.71 and 61,650.83

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Solution

The fourth proportional to 211,410.53, 317,168.71 and 61,650.83 is: 92,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,410.53 : 317,168.71 = 61,650.83 : x
  2. Step 2: Convert to fraction form
    211,410.53/317,168.71 = 61,650.83/x
  3. Step 3: Cross multiply
    211,410.53x = 317,168.71 × 61,650.83
  4. Step 4: Simplify right side
    211,410.53x = 19,553,715,393.04
  5. Step 5: Solve for x
    x = 19,553,715,393.04/211,410.53
  6. Step 6: Final answer
    x = 92,491.68

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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.