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Finding the Fourth Proportional to 176,285, 243,273.30 and 96,797

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Solution

The fourth proportional to 176,285, 243,273.30 and 96,797 is: 133,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,285 : 243,273.30 = 96,797 : x
  2. Step 2: Convert to fraction form
    176,285/243,273.30 = 96,797/x
  3. Step 3: Cross multiply
    176,285x = 243,273.30 × 96,797
  4. Step 4: Simplify right side
    176,285x = 23,548,125,620.10
  5. Step 5: Solve for x
    x = 23,548,125,620.10/176,285
  6. Step 6: Final answer
    x = 133,579.86

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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.