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Finding the Fourth Proportional to 149,892.07, 206,851.08 and 82,824.07

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Solution

The fourth proportional to 149,892.07, 206,851.08 and 82,824.07 is: 114,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,892.07 : 206,851.08 = 82,824.07 : x
  2. Step 2: Convert to fraction form
    149,892.07/206,851.08 = 82,824.07/x
  3. Step 3: Cross multiply
    149,892.07x = 206,851.08 × 82,824.07
  4. Step 4: Simplify right side
    149,892.07x = 17,132,248,329.50
  5. Step 5: Solve for x
    x = 17,132,248,329.50/149,892.07
  6. Step 6: Final answer
    x = 114,297.23

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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.