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Finding the Fourth Proportional to 205,882.97, 284,133.22 and 151,683.64

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Solution

The fourth proportional to 205,882.97, 284,133.22 and 151,683.64 is: 209,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,882.97 : 284,133.22 = 151,683.64 : x
  2. Step 2: Convert to fraction form
    205,882.97/284,133.22 = 151,683.64/x
  3. Step 3: Cross multiply
    205,882.97x = 284,133.22 × 151,683.64
  4. Step 4: Simplify right side
    205,882.97x = 43,098,359,964.98
  5. Step 5: Solve for x
    x = 43,098,359,964.98/205,882.97
  6. Step 6: Final answer
    x = 209,334.27

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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.