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Finding the Fourth Proportional to 205,893.69, 308,718.42 and 63,696.84

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Solution

The fourth proportional to 205,893.69, 308,718.42 and 63,696.84 is: 95,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,893.69 : 308,718.42 = 63,696.84 : x
  2. Step 2: Convert to fraction form
    205,893.69/308,718.42 = 63,696.84/x
  3. Step 3: Cross multiply
    205,893.69x = 308,718.42 × 63,696.84
  4. Step 4: Simplify right side
    205,893.69x = 19,664,387,803.79
  5. Step 5: Solve for x
    x = 19,664,387,803.79/205,893.69
  6. Step 6: Final answer
    x = 95,507.48

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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.