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Finding the Fourth Proportional to 146,509.74, 202,202.10 and 82,846.17

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Solution

The fourth proportional to 146,509.74, 202,202.10 and 82,846.17 is: 114,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,509.74 : 202,202.10 = 82,846.17 : x
  2. Step 2: Convert to fraction form
    146,509.74/202,202.10 = 82,846.17/x
  3. Step 3: Cross multiply
    146,509.74x = 202,202.10 × 82,846.17
  4. Step 4: Simplify right side
    146,509.74x = 16,751,669,550.96
  5. Step 5: Solve for x
    x = 16,751,669,550.96/146,509.74
  6. Step 6: Final answer
    x = 114,338.27

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1.5x scale

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.