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Finding the Fourth Proportional to 146,722.40, 202,477.52 and 83,072.48

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Solution

The fourth proportional to 146,722.40, 202,477.52 and 83,072.48 is: 114,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,722.40 : 202,477.52 = 83,072.48 : x
  2. Step 2: Convert to fraction form
    146,722.40/202,477.52 = 83,072.48/x
  3. Step 3: Cross multiply
    146,722.40x = 202,477.52 × 83,072.48
  4. Step 4: Simplify right side
    146,722.40x = 16,820,309,730.65
  5. Step 5: Solve for x
    x = 16,820,309,730.65/146,722.40
  6. Step 6: Final answer
    x = 114,640.37

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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.