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Finding the Fourth Proportional to 229,512.30, 344,268.45 and 136,200.30

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Solution

The fourth proportional to 229,512.30, 344,268.45 and 136,200.30 is: 204,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,512.30 : 344,268.45 = 136,200.30 : x
  2. Step 2: Convert to fraction form
    229,512.30/344,268.45 = 136,200.30/x
  3. Step 3: Cross multiply
    229,512.30x = 344,268.45 × 136,200.30
  4. Step 4: Simplify right side
    229,512.30x = 46,889,466,170.54
  5. Step 5: Solve for x
    x = 46,889,466,170.54/229,512.30
  6. Step 6: Final answer
    x = 204,300.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.