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Finding the Fourth Proportional to 213,641.84, 320,462.36 and 80,551.96

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Solution

The fourth proportional to 213,641.84, 320,462.36 and 80,551.96 is: 120,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,641.84 : 320,462.36 = 80,551.96 : x
  2. Step 2: Convert to fraction form
    213,641.84/320,462.36 = 80,551.96/x
  3. Step 3: Cross multiply
    213,641.84x = 320,462.36 × 80,551.96
  4. Step 4: Simplify right side
    213,641.84x = 25,813,871,204.23
  5. Step 5: Solve for x
    x = 25,813,871,204.23/213,641.84
  6. Step 6: Final answer
    x = 120,827.79

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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.