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Finding the Fourth Proportional to 114,208.52, 171,214.24 and 54,962.68

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Solution

The fourth proportional to 114,208.52, 171,214.24 and 54,962.68 is: 82,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,208.52 : 171,214.24 = 54,962.68 : x
  2. Step 2: Convert to fraction form
    114,208.52/171,214.24 = 54,962.68/x
  3. Step 3: Cross multiply
    114,208.52x = 171,214.24 × 54,962.68
  4. Step 4: Simplify right side
    114,208.52x = 9,410,393,484.56
  5. Step 5: Solve for x
    x = 9,410,393,484.56/114,208.52
  6. Step 6: Final answer
    x = 82,396.60

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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.