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Finding the Fourth Proportional to 213,542.10, 320,335.02 and 73,282.50

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Solution

The fourth proportional to 213,542.10, 320,335.02 and 73,282.50 is: 109,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542.10 : 320,335.02 = 73,282.50 : x
  2. Step 2: Convert to fraction form
    213,542.10/320,335.02 = 73,282.50/x
  3. Step 3: Cross multiply
    213,542.10x = 320,335.02 × 73,282.50
  4. Step 4: Simplify right side
    213,542.10x = 23,474,951,103.15
  5. Step 5: Solve for x
    x = 23,474,951,103.15/213,542.10
  6. Step 6: Final answer
    x = 109,931.26

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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.