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Finding the Fourth Proportional to 146,814.49, 202,620.80 and 82,301.15

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Solution

The fourth proportional to 146,814.49, 202,620.80 and 82,301.15 is: 113,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,814.49 : 202,620.80 = 82,301.15 : x
  2. Step 2: Convert to fraction form
    146,814.49/202,620.80 = 82,301.15/x
  3. Step 3: Cross multiply
    146,814.49x = 202,620.80 × 82,301.15
  4. Step 4: Simplify right side
    146,814.49x = 16,675,925,415.83
  5. Step 5: Solve for x
    x = 16,675,925,415.83/146,814.49
  6. Step 6: Final answer
    x = 113,585.01

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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.