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Finding the Fourth Proportional to 273,200.80, 409,801.20 and 86,212.30

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Solution

The fourth proportional to 273,200.80, 409,801.20 and 86,212.30 is: 129,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,200.80 : 409,801.20 = 86,212.30 : x
  2. Step 2: Convert to fraction form
    273,200.80/409,801.20 = 86,212.30/x
  3. Step 3: Cross multiply
    273,200.80x = 409,801.20 × 86,212.30
  4. Step 4: Simplify right side
    273,200.80x = 35,329,903,994.76
  5. Step 5: Solve for x
    x = 35,329,903,994.76/273,200.80
  6. Step 6: Final answer
    x = 129,318.45

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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.