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Finding the Fourth Proportional to 136,482.12, 204,745.46 and 42,966

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Solution

The fourth proportional to 136,482.12, 204,745.46 and 42,966 is: 64,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,482.12 : 204,745.46 = 42,966 : x
  2. Step 2: Convert to fraction form
    136,482.12/204,745.46 = 42,966/x
  3. Step 3: Cross multiply
    136,482.12x = 204,745.46 × 42,966
  4. Step 4: Simplify right side
    136,482.12x = 8,797,093,219.53
  5. Step 5: Solve for x
    x = 8,797,093,219.53/136,482.12
  6. Step 6: Final answer
    x = 64,456.01

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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.