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Finding the Fourth Proportional to 280,243.34, 420,435.42 and 80,564.09

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Solution

The fourth proportional to 280,243.34, 420,435.42 and 80,564.09 is: 120,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,243.34 : 420,435.42 = 80,564.09 : x
  2. Step 2: Convert to fraction form
    280,243.34/420,435.42 = 80,564.09/x
  3. Step 3: Cross multiply
    280,243.34x = 420,435.42 × 80,564.09
  4. Step 4: Simplify right side
    280,243.34x = 33,871,997,016.07
  5. Step 5: Solve for x
    x = 33,871,997,016.07/280,243.34
  6. Step 6: Final answer
    x = 120,866.38

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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.