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Finding the Fourth Proportional to 146,880.36, 202,694.40 and 83,230.29

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Solution

The fourth proportional to 146,880.36, 202,694.40 and 83,230.29 is: 114,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880.36 : 202,694.40 = 83,230.29 : x
  2. Step 2: Convert to fraction form
    146,880.36/202,694.40 = 83,230.29/x
  3. Step 3: Cross multiply
    146,880.36x = 202,694.40 × 83,230.29
  4. Step 4: Simplify right side
    146,880.36x = 16,870,313,693.38
  5. Step 5: Solve for x
    x = 16,870,313,693.38/146,880.36
  6. Step 6: Final answer
    x = 114,857.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.