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Finding the Fourth Proportional to 146,585.62, 202,288.05 and 82,922.02

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Solution

The fourth proportional to 146,585.62, 202,288.05 and 82,922.02 is: 114,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,585.62 : 202,288.05 = 82,922.02 : x
  2. Step 2: Convert to fraction form
    146,585.62/202,288.05 = 82,922.02/x
  3. Step 3: Cross multiply
    146,585.62x = 202,288.05 × 82,922.02
  4. Step 4: Simplify right side
    146,585.62x = 16,774,133,727.86
  5. Step 5: Solve for x
    x = 16,774,133,727.86/146,585.62
  6. Step 6: Final answer
    x = 114,432.33

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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.