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Finding the Fourth Proportional to 136,474.49, 204,775.15 and 52,206.80

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Solution

The fourth proportional to 136,474.49, 204,775.15 and 52,206.80 is: 78,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,474.49 : 204,775.15 = 52,206.80 : x
  2. Step 2: Convert to fraction form
    136,474.49/204,775.15 = 52,206.80/x
  3. Step 3: Cross multiply
    136,474.49x = 204,775.15 × 52,206.80
  4. Step 4: Simplify right side
    136,474.49x = 10,690,655,301.02
  5. Step 5: Solve for x
    x = 10,690,655,301.02/136,474.49
  6. Step 6: Final answer
    x = 78,334.46

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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.