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Finding the Fourth Proportional to 204,993.99, 282,892.13 and 114,347.60

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Solution

The fourth proportional to 204,993.99, 282,892.13 and 114,347.60 is: 157,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,993.99 : 282,892.13 = 114,347.60 : x
  2. Step 2: Convert to fraction form
    204,993.99/282,892.13 = 114,347.60/x
  3. Step 3: Cross multiply
    204,993.99x = 282,892.13 × 114,347.60
  4. Step 4: Simplify right side
    204,993.99x = 32,348,035,627.84
  5. Step 5: Solve for x
    x = 32,348,035,627.84/204,993.99
  6. Step 6: Final answer
    x = 157,799.92

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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.