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Finding the Fourth Proportional to 146,655.42, 202,387.50 and 82,993.20

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Solution

The fourth proportional to 146,655.42, 202,387.50 and 82,993.20 is: 114,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,655.42 : 202,387.50 = 82,993.20 : x
  2. Step 2: Convert to fraction form
    146,655.42/202,387.50 = 82,993.20/x
  3. Step 3: Cross multiply
    146,655.42x = 202,387.50 × 82,993.20
  4. Step 4: Simplify right side
    146,655.42x = 16,796,786,265
  5. Step 5: Solve for x
    x = 16,796,786,265/146,655.42
  6. Step 6: Final answer
    x = 114,532.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.