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Finding the Fourth Proportional to 308,832.06, 463,251.93 and 84,203.58

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Solution

The fourth proportional to 308,832.06, 463,251.93 and 84,203.58 is: 126,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,832.06 : 463,251.93 = 84,203.58 : x
  2. Step 2: Convert to fraction form
    308,832.06/463,251.93 = 84,203.58/x
  3. Step 3: Cross multiply
    308,832.06x = 463,251.93 × 84,203.58
  4. Step 4: Simplify right side
    308,832.06x = 39,007,470,947.91
  5. Step 5: Solve for x
    x = 39,007,470,947.91/308,832.06
  6. Step 6: Final answer
    x = 126,306.42

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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.