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Finding the Fourth Proportional to 146,328, 201,941.28 and 82,664.16

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Solution

The fourth proportional to 146,328, 201,941.28 and 82,664.16 is: 114,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,328 : 201,941.28 = 82,664.16 : x
  2. Step 2: Convert to fraction form
    146,328/201,941.28 = 82,664.16/x
  3. Step 3: Cross multiply
    146,328x = 201,941.28 × 82,664.16
  4. Step 4: Simplify right side
    146,328x = 16,693,306,280.52
  5. Step 5: Solve for x
    x = 16,693,306,280.52/146,328
  6. Step 6: Final answer
    x = 114,081.42

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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.