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Finding the Fourth Proportional to 146,008.56, 201,479.74 and 82,362

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Solution

The fourth proportional to 146,008.56, 201,479.74 and 82,362 is: 113,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,008.56 : 201,479.74 = 82,362 : x
  2. Step 2: Convert to fraction form
    146,008.56/201,479.74 = 82,362/x
  3. Step 3: Cross multiply
    146,008.56x = 201,479.74 × 82,362
  4. Step 4: Simplify right side
    146,008.56x = 16,594,274,345.88
  5. Step 5: Solve for x
    x = 16,594,274,345.88/146,008.56
  6. Step 6: Final answer
    x = 113,652.75

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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.