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Finding the Fourth Proportional to 204,394.55, 282,094.29 and 122,728.32

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Solution

The fourth proportional to 204,394.55, 282,094.29 and 122,728.32 is: 169,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394.55 : 282,094.29 = 122,728.32 : x
  2. Step 2: Convert to fraction form
    204,394.55/282,094.29 = 122,728.32/x
  3. Step 3: Cross multiply
    204,394.55x = 282,094.29 × 122,728.32
  4. Step 4: Simplify right side
    204,394.55x = 34,620,958,293.29
  5. Step 5: Solve for x
    x = 34,620,958,293.29/204,394.55
  6. Step 6: Final answer
    x = 169,382.99

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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.