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Finding the Fourth Proportional to 193,456.10, 290,414.55 and 109,283.30

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Solution

The fourth proportional to 193,456.10, 290,414.55 and 109,283.30 is: 164,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,456.10 : 290,414.55 = 109,283.30 : x
  2. Step 2: Convert to fraction form
    193,456.10/290,414.55 = 109,283.30/x
  3. Step 3: Cross multiply
    193,456.10x = 290,414.55 × 109,283.30
  4. Step 4: Simplify right side
    193,456.10x = 31,737,460,392.02
  5. Step 5: Solve for x
    x = 31,737,460,392.02/193,456.10
  6. Step 6: Final answer
    x = 164,055.10

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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.