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Finding the Fourth Proportional to 207,963.73, 286,992.74 and 117,319.42

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Solution

The fourth proportional to 207,963.73, 286,992.74 and 117,319.42 is: 161,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963.73 : 286,992.74 = 117,319.42 : x
  2. Step 2: Convert to fraction form
    207,963.73/286,992.74 = 117,319.42/x
  3. Step 3: Cross multiply
    207,963.73x = 286,992.74 × 117,319.42
  4. Step 4: Simplify right side
    207,963.73x = 33,669,821,801.01
  5. Step 5: Solve for x
    x = 33,669,821,801.01/207,963.73
  6. Step 6: Final answer
    x = 161,902.38

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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.