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Finding the Fourth Proportional to 146,586, 202,304.88 and 82,923.24

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Solution

The fourth proportional to 146,586, 202,304.88 and 82,923.24 is: 114,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,586 : 202,304.88 = 82,923.24 : x
  2. Step 2: Convert to fraction form
    146,586/202,304.88 = 82,923.24/x
  3. Step 3: Cross multiply
    146,586x = 202,304.88 × 82,923.24
  4. Step 4: Simplify right side
    146,586x = 16,775,776,117.41
  5. Step 5: Solve for x
    x = 16,775,776,117.41/146,586
  6. Step 6: Final answer
    x = 114,443.24

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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.