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Finding the Fourth Proportional to 354,107.52, 488,662.02 and 192,963.87

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Solution

The fourth proportional to 354,107.52, 488,662.02 and 192,963.87 is: 266,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,107.52 : 488,662.02 = 192,963.87 : x
  2. Step 2: Convert to fraction form
    354,107.52/488,662.02 = 192,963.87/x
  3. Step 3: Cross multiply
    354,107.52x = 488,662.02 × 192,963.87
  4. Step 4: Simplify right side
    354,107.52x = 94,294,114,501.22
  5. Step 5: Solve for x
    x = 94,294,114,501.22/354,107.52
  6. Step 6: Final answer
    x = 266,286.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.